One option might be to pay to have it found and uncovered and then on closing hold back the funds that equals the cost of that service.  

In my leases I clearly write and explain to tenants that we will remediate any issues uncovered in the 1st 30 days at our own expense.

I just completed the renovation of the first.Moving to the Refinance (or delayed financing) step uncovered an unpleasant surprise.

You can always back out if your inspection uncovers some other issues. 

Windows make a property look so nice .

In buying my first investment property, I had success with uncovering rent amounts by simply talking to existing tenants (if it's currently rented, politely knock and ask questions, you'll be surprised on what they share).

The buyer SHOULD have gotten inspections which would uncover dry rot by poking into exposed wood, other than smelling musty or seeing black or green scum on the walls a mold inspection is more detailed and samples go to a certified lab. 

Lesson #1 Buy at a better price.Lesson #2 Don't over invest/rehab items.Lesson #3 Set a reasonable rehab budget and expect way more issues to be uncovered as you go.We have to get passed the "if we were living here, what would we like" because we aren't living there and I like things to be pristine and aesthetically pleasing.

I do have a decent screening process and uncovered that their reported income was nearly twice their actual income.

Especially on older properties There can be lots of things uncovered.