The private flood policies usually won't pick up a property that has had a flood loss before, but a knowledgeable Nerd agent will look at all options to get the best coverage possible. @ Chris Happer you are absolutely right a Flood Cert (properly named (ELEVATION CERTIFICATE) can help with the rating for the NFIP (government) policy.

Usually you can always refi these after some appreciation and re-use FHA as long as it stays owner occupied, so that helps with getting more property.

In this case it is usually up to the tenant to ensure you have it filled annually.

They’ll figure out the rest, and that’s usually what they ask for.

I'm looking for a deal but as usual it has become harder every year with such limited inventory.

Ditto what the others have said (usually tenants pay their own utilities), and require them doing so in the lease (especially if the house has gas on top of electric and water).   

They usually have 2 to 3 hours a day when their kids are sleeping. 

If you are not going to be in the area while it is being leased, I would recommend finding an experienced co-host in the area that can carefully monitor things and help keep your AirBNB rating high.You can find a lot of experienced co-hosts through AirBNB and usually only need to pay them 10% of the guest fees. 

Let them know you understand that their loan is usually 12 months or less. 

I usually tell people 1 hour but that's because I work in Miami and there tend to better deals in Palm Beach & Broward county.