I take a different view. STRs (Short Term Rentals) do yield higher rates, but your expenses will escalate significantly. Do you already provide utilities? You will. The hotels operate, basically, day-to-day or weekly vs. 12 month or even month-to-month for a typical rental. Your deposit will be limited or non-existant in a lot of places. Expect issues you don't currently have. You may need your house registered, you may have local ordinance issues. Do you know the 'rules' for placement? When your tenant brings in bed bugs, you'll need to handle it. It isn't fun.
Why are they homeless? Are they Veterans? Veterans with PTSD? My company has been leasing STR housing since before Katrina. Regarding "... having to provide for the demands of a discriminating homeless person....housekeeping, room service, cable tv, etc...God forbid the wireless internet goes down..." I guess this was meant as a joke. Also, I get the sense you've never dealt with a crisis like Katrina. That was a difficult time for everyone. My company put up several Katrina victims, and in my view these people were extremely grateful that we did. Going from 4 people living in a Taurus for months to "normal" living conditions... well, it made their day/week/month. We didn't have any 'windfall profit'. Even with our 'quick turns', the higher rent offset our expenses which were quite high. We didn't compromise on our screening and we had our share of "posers" and bad fits that we rejected, leading (ironically) to short term vacancy issues. By the way, we took $0 in FEMA or other federal funds.
I wouldn't do STR on a furnished house, and I'd guess the MA program wouldn't either. Extended Stay "fits" better. Some local Inns/Hotels cater to weekly rentals to cater to homeless. They 'fit' better too.
To sum up, this is probably not an opportunity worth pursuing.