Your weight is likely the dry weight of the trailer, so you'll need to add some weight for gear, water, propane, etc. you'll likely be north of 6k pounds.
The real issue with Burbs is the payload capacity, or lack of. Payload is all passengers and gear the Burb can carry, including the tongue weight of the trailer.
So let's assume you can carry 1,500 pounds (payload). Now let's assume the trailer weighs in at 6k, and the tongue weight is around 12% of that. So that's 720 pounds taken away from your 1500 pounds of available payload. This leaves you around 800 pounds for people and gear, which can get used up quickly.
So check your yellow sticker on the drivers side door jamb and verify your payload.
Good luck.