The Banks are reluctant to lose more money.
The technique that a lot a people use is to offer $5000 more, and ask for Closing Costs;
This would reduce the Cash-out-of-pocket, if not reducing the NET.
The Banks are not a docile, intimidated entity; they are very savy and protective of their assets.
I wouldn't expect much in the way of favors.
Good luck and may God bless