The questions for the OP start with trailer size, which also then dictates Truck size, and drivetrain. 
One person alone even with some dry camping can get by with a 25' box and a half ton truck pretty easily. ie; a F-150  with a tow package and either a 5.0 or 3.5 Ecoboost. 
Mid lever trailers for example could be 2520 Passport models or 223rbs Coachmen. 
Or you could look for heavier trailers, with longer living spaces, and go to 2500-3500 trucks with or without diesel powertrains. 
It's all up to your taste and wallet depth.