You need to do a lot of reading to know what you want.
You refer to Toms River,so I assume most of your towing will be east coast.
What are your plans for the camper?
Every truck no matter the nominal rating,Eg,150/1500,250/2500 has a different rating.
Pay load is the number most important to you at this point. Pay load can be determined by looking at a sticker on the driver side door jamb. The sticker will have a statement something to the effect of: Weight of passengers and cargo should not exceed xxxx pounds.
Tongue weight is the amount the front of your trailer is placing on your truck when hooked up. Needs to be 10 to 13 percent of the loaded weight of your trailer. Ball park on a 6500 empty trailer will probably be 1000 to 1200 lbs. You then have to figure the weight of everything you put into the truck. This includes passengers,after market equipment,camping gear, firewood and the chicken mcnugget under the seat.
I hope this helps a little bit.
As an aside I think that I would skip the Silverado, just because the guy is looking for a dirt bike in trade. Just my prejudice, but I think a dirt biker would have been hard on a 4wd truck.