I don't want the offer to be contingent on the closing of my other place as I think that this property will have multiple offers and I don't want mine to look weak. 

Shouldn't the contractor include a contingency amount within his/her fixed price quote?

And certainly not without an inspection contingency.

I'm searching for an Ohio lender who can help pull 100% of $ back out of a cash purchase, via delayed financing (of course contingent upon appraisal being high enough).For those unfamiliar, check out this great post on the topic (specifically part 2) https://www.biggerpockets.com/forums/48/topics/460294-how-to-cash-out-1-4-unit-propertyhttps://www.fanniemae.com/content/guide/selling/b2/1.2/03.htmlI've talked to several loan officers who are typically investor friendly, they all either want the investor to leave some of their own cash in the deal for first 6-12 months due to their own banks overlay, or they don't understand this process/don't want to mess with this.Has anyone successfully pulled 100% of their cash out of an all cash purchase in Ohio with this technique?

If you can come to an agreement on price or at least word that they may be willing to sell, you can then submit an offer to them with inspection and appraisal contingency.

Also many times there are other terms that are more important to a seller than just the price, I have an example of a deal where the seller was set on not having a financing contingency, and was willing to give me a 25% discount on the deal (she had another offer on the deal at full list price with a financing contingency). 

The better process would be to get your game plan together what areas to invest, how much you want to invest, rehab numbers, contingency funds.

@Calvin Lipscomb, When I represent a Buyer (in Illinois) on a purchase of a multi flat, I generally request actual leases, profit and loss, etc. through attorney review and keep the contract contingent upon the Buyer's review and approval of the same.

Based on that I will walk away, or have my agent put in an offer contingent upon inspection.

They have turned down my contingency to be able to title search the property, but they have title insurance and are willing to convey that to me.