Possibly Foreclosure on REO Investment Property

My wife and I own a investment property called Founding Partners. The current tenants have defaulted for over 4 months on rent and now my wife and I want to turn the property back over to the investment firm. There are some taxes due and 4 months back payment of rent (total of $4000). My wife name is on the deed, but the Lending property owns the house and not the bank. The lending partner wants to negotiate with us and have us to pay the rent. But we just want them to take over the property. The investment property has about $75,000 dollars invested in the property, and I don’t think that they would let that go to waste for just $4000 that we owe them by giving the property to the county taxes collection. What’s the best solution in which doesn’t affect my wife’s credit rating?