I carry a 6 ton bottle jack; two 6 ton jack stands; and two wood 12x12 for a jack stand pads.
The only time I needed to change a flat was on asphalt and without the wood pads the jack stands would have sunk into the blacktop.
6 tons is 12,000 pounds and is plenty for (worst case 1/2 of a 16,000 pound camper).
Remember to jack on the FRAME and support the axles with the jack stands to change the tire. If the seal on the bottle jack should blow, the only thing between you and your maker will be those jack stands.
Oh, and PS: Break the torque on the lug nuts BEFORE you jack up the wheels. Trying to do this with the tire "in the air" is frustrating (wheel spins) and dangerous (you could rock the camper off the jack).
Torque to proper specs once the mounted tire is back on the ground for the same reasons.
Lou and Laura with Bella - German Short Hair Pointer
2008 GMC Sierra 2500HD Crewcab SB Allison Duramax
2010 Flagstaff 8526RLWS - Superglide 3300
HAM CALLSIGN - KC3FFW