Travel trailer with 2005 DCSB TRD off road

Hello everyone. I've been looking at buying a camper ( the wife doesn't like the tent anymore )!!!! But anyway I found this nice 2004 rockwood ultra lite 25' camper. Has a dry weight of about 3200 lbs, & comes with hitch & stabilizer bars. I believe my 2005 DCSB tacoma has a tow rating of 6500lbs. Do you all think that I would be able to pull this trailer (or one of the sort) safely with my truck? I also think that with the tow package my truck has a transmission cooler.
I do have a class A CDL & have hauled numerous types of trailers but usually with a full size work trk or big rigs. Any insight would be greatly appreciated. Thanks for your time and input.

 

Oh yeah, forgot to mention that I'm installing a 3" OME lift with dakar leaf kit in the back when it gets delivered. I know it doesn't increase the weight rating but I believe they are a lot stiffer springs.

 

Should be fine.

 

Ok thanks.