What is a solid SAT score for a CSU?

With a 3.8 - and a 1200/1600 SAT you can have your choice of the CSUs for most majors - except SLO. Several UCs would also be in reach. (UCR, UCM, UCSC and perhaps UCSB)

SLO is really selective but, you should apply anyhow - Take a look at the admitted student profile - a 3.8 and 1300/1600 SAT would make you competitive in several majors.
http://admissions.calpoly.edu/prospective/profile.html

They also use a very different selection model you can read about here:
http://talk.collegeconfidential.com/cal-poly-san-luis-obispo/1625482-the-keys-to-the-kingdom.html#lates