Adcoms in my view will dig your profile. While schools like HBS and Wharton aren't sure shots for any applicant, I think you have a pretty reasonable shot at getting in, assuming you put together some strong applications.
Don't worry about the grad school thing - it's fine. What will make your profile attractive to adcoms is that you have BOTH a traditional (finance-corporate) as well as an unique (pro sports) background. It shows that you won't be the odd duck in a class who is out of place, even though a part of your past is certainly unique for b-school (drafted into the NFL).
You went to a top public (UVA), have a decent GMAT, worked in an analytical position (finance/asset mgmt), and played *team* sports at an elite level (drafted into the NFL).
So long as you do the best you can on the apps, you'll have a reasonable shot at the schools you listed.
Follow me on Facebook