He's 5 years into his career in construction management so we have considered an inspector, appraiser, wholesaler, project manager of some sort but we need more ideas especially with jobs that have a flexible schedule. 

The home had some serious deficiencies so negotiating was intense but we ended up getting it for 9k lower than listing so it was an overall win considering we got it for 4k lower than appraisal.

I have worked in the real estate industry in analyzing properties and underwriting appraisals.

-When you refinance it, the bank/lender will still need to do an appraisal. 

.- Fees include the home appraisal, the application fee, the title search, the credit report fee, discount points, and the loan origination fee.- You might have to pay for a new appraisal- If your new mortgage rate is only half a percentage point lower than the old one, it might take 7-10 years to recoup the costs of refinancing.- if you’re refinancing into an FHA loan, for example, you’ll need to pay an upfront fee for mortgage insurance.This calculator might be a helpful tool.https://www.mortgageloan.com/calculator/refinance-breakeven-calculator

Yeah I was thinking inspector or appraiser as well.

and received the standard property appraiser questionnaire in the mail a month or so after purchase. 

I know that it has something to do with the inspection or appraisal.

Offered price 700k, appraised 800k.

My break-even point on the pre-paid PMI is 3 years when you include the cost of a new appraisal to try to remove PMI without refinancing.