@Jesse LeBlanc why do you say that hard money doesn't make sense for this situation? My HML biz has a lot of customers that wholetail using this exact method. I'm assuming your HML must have points and/or a minimum hold time of more than 1 month? Not all HML's have these loan requirements - you may want to check around for other options.
You could also fund with: A policy loan from a cash value life insurance policy, a line of credit (yours or someone else's), use asset hypothecation to get a LOC (basically using an asset of someone else's to collateralize the loan, giving you access to the LOC directly), borrow money from friends/family/private lender in exchange for a flat fee, Get a HELOC on your primary residence to fund the purchase, offer the seller some additional money to delay the closing for a month, use a lease-option instead, take over the property subject to the existing financing (if applicable), offer another investor some equity in a future deal in exchange for funding this one, etc., etc.
If paying points is the only hangup you have with using hard money, just look at the points as a line item. Meaning, wouldn't you spend $2500 (or whatever the points amount to) to make $40K? I would if it was my quickest, easiest funding option.