It is nice that people have made many suggestions for how to deal with wet wood.
Unfortunately, many state parks sell nothing but unseasoned wood. Yes, with kindling and fire-starters and paper and candles and lighter fluid you can get wet wood to burn, but wet wood is wet wood. It will not burn well, nor burn like dry wood. Wet wood will smoke, because you have to get it hot enough to boil off the water (hissing) for it to burn. It will not burn with a good hot flame.
While I appreciate the OP's situation of having to sit in a pile of smoke, the real problem lies with whoever sold that wet wood to the campers (assuming they didn't bring the wet wood with them). This has been an ongoing complaint from many campers at state parks that REQUIRE you to purchase their wood (can't bring your own for the EAB/bug reasons)but then sell you ****py wet wood at inflated prices.