Moisture invasion gets more expensive the longer you wait to remedy it.

Why do you think it’s a $$$ fix for a moisture-ridden basement?

A few questions:Is this a (minor) moisture issue or a (major) standing water issue?

Another big issue up here is unresolved basement leaking/moisture problems.

Owner gets dehumidifier and less moisture - Win-WIn if you can get past the $5K cost3) Washer/Dryer = $50/month.  

I would get it fixed NOW - The longer you wait, the more expensive moisture invasion becomes. 

You are letting the house “breathe” and letting the “moisture” out.

@Daniel Lozowy In terms of the roof I look at whether or not there are visible ridges from the wood under the shingles as this can sometimes mean there's a moisture problem or is simply structurally old, which increases risk of a roof looking.

Well, kinda late for it, but I'd take a look inside while you can work on it since moisture invasion should be repaired as soon as possible.In general, foreclosures are pretty much "as-is where-is" so read your sales agreement to see if you have any recourse.Don't know about TX, but in OR when you buy foreclosure, you get a Special Warranty Deed.  

If you can afford the mini splits and can live with the single-point source (i.e. to heat/cool the place all the doors need to be open), much better:1) Your tenant gets about 50% off his electric in winter2) Your tenant gets A/C and you get dehumidifier which keeps moisture down3) Baseboards are notoriously inefficient and usually get a sofa shoved in front of them4) If electric and not regularly cleaned, I think they're a fire hazard.