There is "delayed financing" options where you can do this but its usually not same-day.However, what you are looking for is probably a hard money lender that does not require appraisals - this allows quick closes and functionally the same as cash offers (and pretty much what you appear to be looking for)

Also, the seller not offering any sort of commission either.

Given equity is always more expensive than debt, in my view the additional finance charges were a good trade off. 

There's plenty of great and smart people on here and in our local area that can offer advice, but I would offer two things:1.  

And an additional $600/m for 1yr and $200/m for yr 2-3 that goes towards purchase (non-refundable). 

Your choices are limited since there is only a handful list of lenders who offer such loans, but it is sufficient.

I’m Todd, the newest addition to the real estate circus. 

Looking to purchase 2 additional properties within 20 minutes of each other.

FHA allows you to buy up to a fourplex with as little as 3.5% down payment. 1 unit does have to be a primary for the first year, and afterwards you’ll have 4 additional doors. 

TIA Carol, will send you a PM about some programs we could offer.