I did some diddling around looking at the faculty (I threw in Stony Brook as a comparison as well).
Fredonia is more music education from what I can tell.
With Crane, they have a reputation as a music school and the violin teacher there is interesting, she has credentials and interestingly is a crossover artist (she does fiddling, too). They have produced some talented musicians and singers.
Purchase is closer to NYC. They basically if the website is to be believed only one violin teacher but she is a very high level musician, and I think she is the artistic director of Orpheus Chamber orchestra as as well as a violinist. She is a really, really talented violinist, seriously so (this I know directly, she went to Juilliard pre college with my son and was friends with him) .Is she a good teacher? That I don’t know. She does know the music world inside and out. Question also is how many students does she teach? Or are they using grad students to teach? Purchase being closer to NYC can mean exposure to the music scene there, plus I know they have musical events on campus. Purchase also emphasizes ensemble playing strongly, and that is a plus.
With Stony Brook there is a red flag from reading their website. The UG program is a BA (which in of itself is not bad, it is just less intensive generally than a BM) but the real issue is another poster is right, the teaching is done by grad students, albeit usually DMA students. The faculty, which is name heavy, teaches at the grad level which tells me they don’t emphasize UG as much.
Grad students teaching UG violinists is problematic. First of all, you might have a situation where you don’t have one teacher, where more than one grad student is teaching. But more importantly, teaching violin is not like teaching calculus 1 or intro to American History, which in academic land is usually taught by grad students. No matter how good the grad student is, they likely don’t have that much teaching experience and IMO that is a real crapshoot. You want someone who has taught some length in time, people who have been chamber musicians or really any kind of professional level of music have likely done outreach , master classes, where they have taught. It is a skill that requires practice. That doesn’t mean there aren’t grad students who are great teachers, someone who is an accomplished violinist getting an AD or PHd might work out great bc they have experience teaching likely, but it still is problematic.
. Purchase because of its near location to NYC has things going for it, and at least based on her ability as a violinist Abby Fayette would be worth looking into. It is a small program and could be difficult to get into because of that, they claim a 20% acceptance rate but it could be much harder on violin.
Crane has a reputation and the teacher there looks interesting,seems to have credentials, but it also is kind of an island of music.
If I had to rank it I would say Purchase, Crane then Stony Brook for a UG.
This is where homework comes in (and hopefully people with inside knowledge can give you better info), there could be people who had kids study at Stony Brook who said the UG experience was great. I am reacting simply from reading their website, and the way they describe the BA, it throws off questions to me how intensive or good the UG experience would be.
Purchase being closer to NYC is a plus, and Abby is a extremely talented violinist who has done a lot.
Crane has a solid music program and the teacher has some serious credentials, so that part is good if she is doing the teaching. Crane being in Potsdam is more isolated musically, but hopefully there would be a lot of opportunities to perform there as well as see other peformances. Like Purchase, they seem to emphasize ensemble playing, which is huge.
One thing I highly recommend, when you have limited faculty in your area of study, try and get a sample lesson from them. You need to see if your D can work with them, and them, her. Violin teaching is alchemy IME, and that fit is so huge.
As always, these are just my opinions and observations. One thing to keep in mind is these days the UG is almost the way a pre college prep program was a generation or 2 ago. With some rare examples, most musicians these days get a grad degree (or 2 or 3),and there is a good reason. The level of playing on violin out there is extremely high, it is light years better than a couple of generations ago and the competition in the real world for things like orchestra positions is extreme so grad school gives them time to bring their playing up to the highest level they can achieve. I would basically count on grad school being in a music students future if they are aiming into getting into a higher level orchestra or making it in the ensemble world professionally . This isn’t so great with having once again find a program, apply, audition, etc etc and then how to pay for it (fortunately, many grad programs are better funded than UG ones). The good part about it is where you went UG may not mean what it once did, that today you can go to a mid tier program and then get into a top level grad program and jump out into the real world from there. Obviously your playing level going into UG matters, and how hard you work in UG, how motivated you are, still matters a great deal. If you get into a mid tier program because your playing isn’t quite at the elite level, you have work to do to catch up.
Obviously, as always, this is just my thoughts and opinions, in the end it as always comes down to the student and what works for them, financially, playing level wise and the like.