@Cory Cannon -- if you do a 30 year delayed financing, you're capped @ purchase price + documented/actual costs spent in renovating -- so let's assume that's $103k here. That may work out fine, but you may be doing yourself a slight disservice because i) you're looking @ an $82,400 loan amount ii) a good amount of hard money/non-bank lenders look for $100k loan amount or more and iii) rates are typically higher for loans under $100k.
The alternative is, do a delayed financing for the purchase & rehab costs through a bridge loan (short-term, interest only, no prepayment penalty) and depending on your credit score & experience, you'll get 80% - 90% of purchase price at closing and then the full $23k once you're done with the reno. That will get you a total loan mount of at least $87k, again if you have some experience, that could go up to $95,000. You'll be able to use these funds to go after other deals. Once you hit the 3 month mark of ownership, now that you have debt, you can do a 75% LTV cash-out refinance or up to 80% LTV rate/term refinance. If you hit the $135k ARV, that's a cash-out loan amount of $101,250, which will get you a better rate on a 30 year fixed.
The downside here is that you're incurring closing costs twice. But, this enables you to be more liquid, quicker, and get a lower 30 year fixed rate on the exit/refi of the bridge loan. Also, if you use the same lender for both the short-term loan and the 30 year, then you'll likely get a discount on the origination fee (and potentially other fees associated with the refinance).