Adcoms tend to have mixed feelings about lawyers.
Even if they feel that you have the quant abilities, it's rarely a question of ability or talent, but one of attitude.
Lawyers applying to b-school have a reputation for being jaded, cynical, burnt out professionals - and regardless of how smart one is, it's hard to want someone like that in a classroom. Also, note that while there aren't boatloads of lawyers applying, those who apply have virtually the same narrative as you:
Corporate lawyer who wants to work in finance (banking, PE, HF, VC, etc). With this kind of narrative, adcoms will assume you are that jaded, cynical, burnt out lawyer who wants to get into finance because if you're working crappy hours now, you might as well get paid multiples of what you are paid now. So in other words, the change is for cynical reasons - i.e. that you are more interested in getting *out* of law than you are interesting in getting *into* business.
Yes, there's a handful of lawyers in any b-school classroom, but the key is convincing the adcom that you aren't the burnt out lawyer, but someone whose interest in business far exceeds his/her abhorrence for the law.
In your case, it probably doesn't make sense to look beyond the top 16 schools, but at the same time, there aren't really any safeties for you within the top 16 - you'll be a bit of a wild card at any of the top schools.