Just purchased my first hauler a 2006 WW

Looks like you you know how to fix it, I bought an 04 in 09 as a repo for a killer deal too , I replaced some rotted floor in the cargo and bathroom and then put 1 giant peice of linolium in it. I've had two WW's and they have been great trailers. As far as the carb, you can get them on ebay cheap, what I did before the new carb was take the fuel line off pour out some fuel and replace it with carb cleaner, push the prime button and let it go straight into the carb and let it sit, mine also would stall after about 20 minutes and I found the vented cap was bad, if I loosened the cap it would keep running.