you mean does it specifically matter what school you are attending? i don't think so. i think they just look at your cost of attendance. i don't think it matters if it's a community college or a 4-year school. they just want to make sure it's a legitimate school, not something made up.
no matter what, there is ALWAYS a chance you can get denied, just like anything else. i am not certain that a 720s score is a sure approval for all lenders, but i have never had to apply for a private student loan. sounds like there is a very strong recommendation for a cosigner, no matter where you apply.
if you are serious about pursuing a loan, i would go talk to some banks in your area & see what they say, before they pull your credit. that way you have a better idea of what you are facing, & you don't end up with a bunch of inquiries on your reports. take copies of your credit reports so they can look at them & give you a more or less accurate answer about whether or not your credit profile will get you approved, & if so, for how much.
