Renting a home with a high mortgage

[Garret Myers]

Hey guys, I'm looking for some creative ideas on renting out our home. Currently, our mortgage is approx $400 higher than what I believe we could get for renting our home. I fully intended to rent it out by the room, but while reading some HOA documentation I discovered it very clearly states:

"Leasing: Any dwelling that is leased
shall be leased only in its entirety; separate
rooms, floors, or other areas within a dwelling
may not b~ separately leased;"

Short term rentals are not allowed, either. 
So what does that leave, corporate housing? 

Thanks in advance for any ideas!