What do you consider "lots"? "Lots" to you & I is probably pennies to a servicing company. I wouldn't think that the larger loan servicers would be able to take on your loans without charging an arm and a leg.
My suggestion would be to contact a few of the correspondent lenders in your area. They typically sell their loans within 5-45 days of closing, so they typically have a small post-closing and servicing dept (1-5 people). I imagine that you could convince one of the correspondent lenders service your paper for the right price.
Thank you. Of course you are correct lots to me is not massive. I am just trying to outsource as much as possible and this is one of the things I have been looking for a solution to I appreciate your answer and I will certainly start looking at that possibility.