Hey Ted - pass over that crystal ball - I could use it sometime!
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
However, I'll say this, if you find out what the market is for your property ($$/month) and it is clean you should be able to rent it out in 30 days or less, as long as you stay just below the market. Screening the renters is adviseable, but will likely add to the process.