You mean the VA hospital? Togus is in Chelsea, just off Route 17 south of Augusta. If you're looking for town/city life, Hallowell, Gardiner, Augusta all offer reasonable rents. Togus is also a stone's throw (figuratively speaking) from the countryside of Windsor, North Whitefield, and other rural towns.
I haven't checked rents lately. Go to the Kennebec Journal, that's the local daily in Augusta, and check their classified listings.
MaineToday.com | Kennebec Journal
Be aware that, in Augusta especially, there are good and bad places to rent, such as the old tenements in the Sand Hill/North Augusta neighborhoods.
Good luck!