most hard money lender are looking to be in the first position (lien) verses in a second position like with the 20 portion of the 80/20, they also do not like high LTV loan (100% in your case).
Next you will have the problem of re-fi so soon after the purchase which will be easy for any bank to find the transaction and be able to tell exactly what you paid for the property. Hence most banks will only take the lesser of the purchase price of the current market value to determine the new LTV of the re-fi loan with in the first six months. For 6-12 months most banks will have a great deal of trouble with appraisals that are in excess of 10% above the purchase price, with out a great deal of documentation as to the repairs and all other work done to the property, receipts, building plans, permits, etc.
Given all of the various obstacles I think that it is very unlikely that your plan will work, or at least not smoothly.