Your kind of attacking this backwards, as you should line up the hard money on the purchase of the property and use your cash for down payment, construction (Rehab) cost's and overhead and carrying cost's.
If you put hard money in on your purchase with let’s say 30% down and HML carrying 70% you would know where your rehab financing is because you would still have cash in your pocket!
Now that you own the property your stuck because if you can not find financing and you have no more additional money, your stuck with a property you may or may not get $37k out of if you have to dump it (Polite Wording is Sell this Masterpiece!) to get your money back.
Now if ARV is actually $150k you might get a lender to loan you what your seeking and they will dispurse it in draws against the construction. You still would be better in the future to work out financing before you purchase!
The new lender will obviously want to be in 1st position on the property and make sure you figure your hard and soft cost’s acurately, and make sure your $150k ARV (FMV) is correct and on the conservative side as there is nothing like showing your inexperience by over estimating your expected sale price, which is then an indication your construction budget and critical path schedule is inaccurate!
You might try “RookieNYC” on this site, he makes HML in that area I think, maybe he would be willing to look at this, but I am sure there will be some points and probable a hard money interest rate if he is willing to do it!