Depending on the cost, I could see a benefit in the idea.  

If they chose to move expect a longer turnover while you live there If they turn out to want to stay with the increase that's a benefit to you.  

We know the benefits of house-hacking and how it can afford someone to get ahead in real estate, so we wanted our next purchase to pay for itself via Airbnb.

Let's meet and discuss how we can mutually benefit.

Most information on line concerning wholesaling is BIASED because the person providing the information is benefiting in some way by the distortion of facts6.

short term rental is more of a business, you can make more cash on cash (with more work) and get fantastic tax benefits if you work with the right accountant.

I am posting this just so others can see this to possibly help them increase their benefits yet save money at the same time.

Chances are you didn't use it when you purchased so unless something changed you should still qualify and there wouldn't be benefit to including that. 

You also would need to properly account for all of this.You would want to discuss your specific situation with a qualified CPA to determine if this can be done and if it really benefits you any.

You might benefit from house hacking vs. doing full STR while you are away.