I would think you should be OK, but very close if you take alot with you. If I remember, the weight on mine is 5,044 + stuff. I would recommend a good hitch, I got the the Equalizer and love it. I had the one with the round bars and they started falling out alot.
As far as the tt goes, I have been very happy with it. We have had zero issues after close to 30 days out camping. I switched to this after having had two Sunny Brooks. I can't find a single complaint. Good luck shopping and I hope you find what best suits you and yor family.
21 WRS V-Lite
2001 Dodge Ram Quad Diesel.