Yes, it seems that BofA has the best rate out of all the major banks. I kind of hate it, but I am using BofA. I've applied a month ago, so the rate they are giving me is 3.39%. I think that applying several times for the same type of loan within 1-2 weeks counts as a single application by credit score companies. I did hard applications with 3 different banks. You can try it.
After some back-and-forth with the bank it looks like they give me a 2.99% APR. Go BofA.