1st time flipper needs help with bid.

[Robert Howard]

Ok Im trying to embark on my 1st flip. The asking is $56k and the ARV is $110k. I estimated about $30k rehab. I offered $38k because I want to make at least $20k from sale. The bank has called for higest and best. I know I cant go over $41k but it has been my experience in the past when banks call for highest and best that even when I up my bid its rejected and put back on market. For my more experienced flippers what would your top number be or any guidance would be appreciated. The market is middle of the road there are a lot of new construction going up on the other side of the county and I see them going fast but the price point is higher for about the same sq footage.