If, as you say the hitch is a Class II, then you cannot use weight distribution with it. It is not designed nor tested to be used with weight distribution. You would need to replace the receiver on the vehicle with a class III hitch that is designed for weight distribution use.
Even if you changed your hitch, I would not tow any full sized trailer with that vehicle. The manufacturer placed a 2000lb limit on it for a reason. The limit is based on many factors such as engine, transmission, rear axle gearing, axle loading, tires etc. etc. etc. and not just hitch capacity. A full height travel trailer is going to put too much strain on your vehicle for which it was not designed or intended. Sorry.
Barney