Don’t know enough about this particular program, but 3.65 is like bare minimum expectation for ORM (asian) candidates these days if they were to aspire for medicine anyway. As mentioned by self earlier in the thread, in our state there are students having just graduated with 0.25 gpa points above that mark and still not making it to any med school this year. So by that level of competition, 3.65 should be a steal. But do the students in that program also have to go through interview and if so, is it it a formality or can they still get filtered away there too? Something you need to find out.
The drawback can be, if for some reason the student changes the course after a year or two, either because of gpa or change of mind or whatever, s/he will come out with a degree from a not so well known institution and possibly with not many solid alternate major offerings like business etc. Or may have to transfer out to elsewhere by end of sophomore year.
You may also want to search last 2 year’s threads with key words like SLU, the name of the program, St Louis etc to see what are the takes of people on it.