If I can bring a check to the closing table, what scenario exactly is the bank, if they still believe the asset (house) will appreciate and still be good collateral, trying to avoid that having zero equity would cause  if the problem of closing costs being covered is solved?

However, the drain won't do anything if it's a water table issue, i.e. the water is just coming up from below ground, unless there's a good distance daylight drain area or a pump system to put the water somewhere else.

Wow, that table looks a lot better in preview than it does when rendered!

The new furniture will be mid century modern furniture, including a sectional sofa, TV stand, armed chair and a coffee table. 

The lender needs to know way before the closing table that you have enough to purchase the amount in your bank account (including Closing Costs), another issue that they'll would have even if you could do that is projecting DTI due to that high balance as soon as you close on your credit.

Just get all expectations including yours on the table so everybody stays happy. 

Those are just table stakes to get in the game. 

I've also had a line of credit put on the table as an option for an investment property.

I understand these parties can help, but I need to bring a contract to the table for this project as a next step.We can potentially build 2 air b & b units @ 120/night for say 20 nights a month (these are allowed and active in the area at that rate).

You will look at the Table of Uses and make sure that "Multifamily" use is allowed.