What MSF should I apply for?

Hey guys, I am planning on applying to an MSF program for Fall 2023. Just some background info on me, I go to a non target UT school with a GPA of 3.8. I haven't taken the GMAT yet but I am scoring around 720-730 on practice tests. I also come from a STEM background(compsci). I don't have any internships which I understand is a big red flag on my resume, but I am planning to apply for a SA position with a few no name boutiques before my MSF to get some work experience down. I became interested in banking fairly recently and I understand I am too late for SA 2022 recruiting. 

As I am already late to finance in general I have a few criteria for an MSF program.
 

1. Has to place well into IB/PE/consulting

2. Not a quant degree like Princeton but curriculum focus on IB as I have a CompSci bachelors 

3. Also feeds to cities like NY and SF

My questions:

Are my stats good enough to get into programs like Vandy or MIT?  Are there any other programs I should look into? Do MSF degrees place well into either SF or NY EB/BB at all? EB/BB IB is ultimately my end goal and the MSF seems like a good way to compensate somewhat for my lack of a brand name and finance related internships