Hmmm, let me take a quick look into my crystal ball...
Seriously, I do not think you have furnished enough information about your particular neighborhood, the location to major roads & shopping, amount of rent, etc. The fact that it has only 1 bathroom for 3 bedrooms makes it less desirable than a 3 bedroom/2 bath home or condo. Does this rental property qualify for Section 8?
Accurately predicting time on market for a listing (whether for sale or for lease), is a very complex task affected by many variables. Agents can look at historical data for # of days on market and get a general sense of how long it should take assuming that it is priced right, in a desirable neighborhood, offers easy access to roads, is close to shopping, and so on.
The real key to your outcome is marketing and exposure. How & where do you plan to advertise? Food for thought.
Ted Shoop - ABR, e-PRO, Realtor
Keller Williams Realty Atlanta Partners