Its your house so its up to you. I wouldn't hate you if you keep it. You probably would do ok on the appreciation side, but if it were me, I'd sell. Take the tax free money and move on to something else.
Couple of reasons for the sell side.
is 3200 a high price for your city? I wouldn't want a rental that is priced at the top of the market, those prices fall first.
I also wouldn't want a home that large for a rental, more people = more potential problems. Screening can solve a lot of that though.
Would you want to float a 2 month vacancy for this? I"m cool floating my 1k units, but if i had one in the 3k range, 2 months missed rent would sting.
I also just went through this with my primary. it was a nice home in a hot area, so i tried renting it over the 3k range (which is reasonably high for my city). After interviewing several possible tenants we decided this is stupid, lets take the tax free money and buy some better rentals. Best decision I've made, we got a big check, and are now rental shopping.