If the caravan is damp, and it's not condensation, then there's very little you will be able to do about it.
Personally, I'd plan to tumble dry clothes, regardless of the cost, and immediately bag them in dry bags of some kind.
Food stuffs in clean screw top jars or the click seal boxes, and your bedding aired in front of the fire every time it's on.
If it is condensation....those gel pots don't take out much, they're really only for a closed cupboard, and they need dried out again to be effective.
Condensation can be shifted with ventilation and heat, and it is well worth having a routine to wipe dry both the shower and any steamed up windows.
Damp will come back every time the weather is wet, and though the caravan may not be 'leaking' as such, I am reliably informed that the way they are built causes micro fractures, and that unless under cover virtually all vans suffer damp.
Do you have electricity ? if you do then a dehumidifier does work, and it does pull out water, and gives out a little heat. It can be expensive though for a big enough one to be effective.
Living damp is a misery; we moved out of a damp house when the children were small, and I was never so glad to flit in my life.
Best of luck sorting it out.
M