Welcome Lynn wish I was off to travel for a few years of travel!
I tow with an Outback and its a great little tow vehicle - much better than many here realize but there is one *BIG* downside to towing with it. Although the car has a 3000lb tow capacity specification it also only has a 200lb tongue weight
capacity specification and Subaru states in their manuals that no Weight
distribution hitch is to be used on their vehicles. Although some here will argue the reasons for the no weight
distribution hitch (WDH) rule I have been advised by Subaru that its a handling issue connected to the all wheel drive system they use and the WDH can negatively impact the vehicle's handling. You will be very hard pressed to find a Travel trailer over 13' with an total weight of 2000lbs loaded up in order to keep the tongue weight at 10% (200lbs) which I have found is necessary with the Subaru to keep the tow solid and avoid any sway issues at speeds of 55 mph or over on rough freeways. Have tried to tow with it at a lower rating such as the 8% Subaru suggests is ok but trust me its not a good solid feeling. It might be ok towing a boat at 8% tongue weight but from personal experience its not so good with a TT trailer.
Yes I tow a 16' with my Outback but its a real light
side bath 16' and I cheat a bit more than I would like on the tongue weight specifications and I dont think its in the best long term interest of the car maintenance wise to do so. I also have to work very hard at keeping my total trailer weight down - it gets totally cleaned out of stuff at least twice a year and only the real necessary goes back into it. I dont carry much other than golf clubs and a *light* bike or two in the car. I also weigh the trailer as often as I can to be sure its not in need of starvation diet sooner than planned. I am looking at a vehicle change as a result of the head ache of needing to be so diligent with the trailers weight and stowage and I am looking at something with a 5000lb tow weight specification.
My recommendation based on 6 years of towing with an Outback thousands of miles over lots of various terrains is stick to a 13' trailer and you will be a very happy & safe camper.