When it comes to assigning the contract, make sure you lock the buyers up on non-contingent agreements so they can't back out without losing their EMD.Experienced buyers are used to competing on deals and will fight to close as quickly as possible.

I have a contingency placed into the rehab figure, as well.

I am seeing more and more of these spread sheets and none of them have leasing fee's therefore the vacancy factor is under funded.unless you have a deal with your management company to lease the units for free. your going to have turn over.. everyone does .. and its not common to have a tenant leave and not have a month of vacancy plus a lease fee.. and of course turn over costs.. although I was happy to see your contingency line most folks don't put that in there..

I have financing and inspection contingencies.

If you don't have those contingencies covered you will be in a world of hurt.I'm not trying to discourage you.

Because in addition to the less stringent seasoning requirements, a lot of these local banks will allow you to put the loan under an LLC name, and you give an unlimited personal guarantee (also known as a contingent liability). 

We could try to structure an offer contingent on the certification but I don't think the sellers would be willing to wait.

I don't see a way to get the funds in your hands by Monday; however you could make your offer to purchase the new home contingent on getting financing on this other house. 

He then mentions that the 2 contractors made offers WITHOUT the inspection contingency (apparently, this would make a difference for the bank, specially if we come in with the same offer amount).

He then mentions that the 2 contractors made offers WITHOUT the inspection contingency (apparently, this would make a difference for the bank, specially if we come in with the same offer amount).