OP, have you actually loaded the TT for camping? And how are you setting up your WD hitches. What process are you going thru to get the truck setup. If your having truck sway issues then maybe you don't have your truck setup right as far as weight transfer goes. Read the truck manual on setting up your WD. You're always going to have some sway issues with your truck and TT. That long and heavy of TT will always push your truck around. A 3/4 ton would solve your problems. It's not in the cards I'm sure but that's the reality of it. Anytime you get near the 7000lb TT range and are towing with a 1/2 ton you start to get into sway areas. Just the nature of the game. Make sure your TT and truck tires are aired up to max sidewall psi before towing.
Make sure you have the proper TW on the TT and that the WD is setup properly so that your truck is dialed in. Air up the tires to max psi and then see if you still have issues before spending $800-1000.00 on tires.
FWIW the Andersen has trouble with higher TW. If you get in the 850-900lb range then you won't be able to setup the truck up correctly. The EQ with 4pt sway control is the better of the two for weight transfer.
I-84 thru the Gorge is a bad place to tow. I don't think it ever stops blowing there. I guess that's why its one of the top windsurfing destinations. Not sure if any setup is I-84 proof.