Welcome to the forum Ericc57. I too just picked up our 303TG and am also watching snow fall (was in the 50's the weekend I brought it home, then 3 inches of snow on Monday... ugh).
Anyways I tow mine with an '08 Tundra 5.7L V8 - tow capacity is 10,300. It pulled just fine. As I've only been towing since last July I don't feel qualified enough to let you know yay or nay. Just providing my TV info per your question.
Myself, the wife, 3 boys a dog and cat
2011 Laredo 303TG
2015 Chevy 2500 Crew 6l V8 4x4
2011 Jayco 17z
2007 Toyota Sienna
2008 Toyota Tundra DC 5.7L V8 4x4