OP I do feel for you and your twin.
I have a significant amount of family in Hawaii and also have an office there and understand where you are coming from. My family is in academia and while most of them have done undergrad on the mainland, some have come back for undergrad and several have gotten their masters at UH. There is a significant pressure to go to the mainland for college, however there are plenty of acceptable schools that would be far better financial fits without the sting of UH. Also, west coast in general will save a small fortune on flights with smart planning. Berkeley and UW are not options and frankly I personally don’t think Rochester is either. At the end of the day, your education is what you make it but I very well understand the expectation and pressure to go “anywhere” else.
That said. I would really consider the gap year concept proposed by so many, regardless of your tiger mom’s feelings. My niece just headed back to UH after a year in Portland and I had several college friends at UW (my alma mater) who had a very hard transition. Rochester, which is your best of very bad options, will be an incredibly difficult transition for both of you. The flight costs will also most likely exceed the $2500 budget you have given for yourself. Given the time of year of travel (peak) your flight costs will be $800-1600 per trip, times 2 and then plus any other personal expenses you may have. It is unrealistic to think there will be zero on top of flights.
If you were to take a gap year you could both work and save. With an EFC of 34k, your earnings really will not change your picture at all beyond no longer qualifying for a subsidized loan, they will all be unsubsidized. Both of you need merit monies, not need based. You should be targeting schools that will give you full tuition awards and both of you have the stats for it. If you are able to do that, then combined with what your parents can actually contribute without 200K in loans, then you’ll be in a much better place for grad school. You need to look beyond ivy and OOS prestige schools to privates and schools in the 50-100 range to get the larger awards and be strategic about it. Very good school at an affordable price is a much better life plan for all of you. Do look at what is open come the May list as there may be something worth going after.
Rochester did meet your full need, they assume you will take $5500 in loans and consider that “offer” as part of meeting need.
While I understand where your parents are coming from, 200K in loans WILL delay or rob from their retirement, the payments on those loans are not sustainable, nor are they payments you’ll be able to afford regardless of whether or not you go to grad school. Your dad is robbing his retirement with this plan even if he doesn’t see that now. Some loan, some debt, can be manageable for many families. This is not.
By all means appeal the Rochester offer but you really do have better long term options if you take a gap year and start from scratch. I personally think that’s a better option for your goals and “fit” than considering UAH at this point which I know lots are suggesting but you’ll have many more options going the gap or spring admit route.