Thank you for your service and I know everyone wishes you a safe return to the South Shore! There are only 3 rentals in Hanover, Abington and Rockland listed with the MLS that allow pets. There is a 4 Bedroom in Rockland in a multifamily property for $1,950/mo, a 2 Bedroom 3rd floor apartment in Abington for $795/mo, and a 6,000 sq ft home in Hanover for $4,400/mo.
I would suggest checking Craigslist for rentals directly from owners. Just be careful and don't send any deposits without meeting and seeing the property when you get home. There are lots of scams on craigslist and you could end up sending your deposit to someone in Iraq!