Would the info you provided still be the same?

Instead of continuing to hire remediation contractors you should hire a hygenist to come in, do some testing and provide a remediation plan.

Are you just using a number like AirDNA provides or have you dug in and found comps? 

Additionally, by virtue of owning all of the units I could, with the help of an attorney, construct the bylaws in such a way to maximize value and eliminate bylaws that would be value-restrictive.I've talked to a couple of non-QM lenders who could provide financing to buyers under such a scenario, but the tricky part is appraisal value, especially in a state where, according to Redfin, no co-op's have sold in the last 5 years.If I got a couple units sold using seller-financing at $220/sqft, since there aren't any other co-op comps, would this provide a basis upon which an appraiser would provide a valuation closer to $220/sqft than $135/sqft?

I would be very careful in working with a 1031 Exchange Qualified Intermediary that provides ("sells"0 replacement property solutions as part of their services. 

The right agent will provide a pro forma breakdown on every property they look at, have repair costs estimated, CapEx, etc...

Be sure to check out the free tools BP provides to help analyze deals you may have and also market insights.

Unless you have a way to source off market deals or have a crew to provide labor for below market value, you're kind of relying on hope and luck to find a deal that works.

So, you are working through 2 decision makers, not one.A Realtor can really provide you value in a transaction....especially your first one! 

Also note that my company will possibly either cover closing costs if we sell or provide property management for two years if we rent.