My wife and I just completed a physician mortgage. (Disclaimer: I am in finance and my wife is the physician, but I feel like it's OK for me to comment on a finance thread.) We looked at several places and went "through the motions" with more than one place. We ended up going with Regions Bank and Chris Roberts, even though we originally expected to go with a different bank. We were originally quoted 4.375% (this is early this year before rates went up) and Chris was up-front that if we could really get that rate we should go with the other provider. Obviously I appreciated him being honest and to the point about that.
When I received an application the rate on there was 4.75%!!!! This was after confirming the rate over e-mail less than a week prior. The crummy part was that I was now less than 30 days from closing and I ended up needing to go back to Chris to get the job done. They were able to scramble and get stuff done in time... Chris even started the process for me when he was on a family vacation (it was apparently raining though so it's only "very" heroic, not "incredibly" heroic).
In any case, the big things you want to look for are rates, closing costs and level of service, and I feel like we got all three. I should also mention objectivity, I suppose. Regions seems to be "big enough" to get stuff done, but not so big that you get crap service. The experience was positive enough (we just closed yesterday) that I felt compelled to write a good review somewhere.
I think they operate in most states (if not all) where physician mortgages are legal.
http://www.regionsmortgage.com/chrisroberts
We had looked at a few online (highly advertised) places that were essentially mortgage brokers who charged something like a 2% origination fee, which would have been over $10k in our case. This led me to try and go directly through a bank... I feel like it's quite a bit cheaper, although it can be a bit more of a hassle to rate shop. I did look at more than one place though and Regions is pretty much right where everybody else is (and they don't falsely advertise)! They also have a little better loan limits than some other places. In Missouri at least, you can do up to $650k with zero down, and 5% down for up to $1 million. I think maybe 10% for over $1 million but we weren't looking in that range so don't quote me on that one.