Truck,
My suggestion is to run with just the rollover check valve because this is a DD and you won't be getting into circumstances on the road where the LCV would come into play.
I would not loop the line or bypass it because it is designed to be a sealed system to prevent the escape of fuel vapors into the atmosphere, if you do a vented cap or some other rigged solution, it you're likely to be smelling gasoline around the Jeep.
I'd definitely run the rollover check valve, not because it's likely you'll roll over on the street, but because they're really cheap so why not have that insurance. I needed a new rollover check valve some years ago for my Scrambler, and I found a Nissan check valve that worked perfectly, from an early 90's Altima:
The only real difference from the stock rollover valve is the mounting method, so I used a zip-tie:
If you don't have a functioning LCV, I'd still run the vent lines up to the charcoal canister in the engine compartment, but in place of the LCV I'd make sure the vent lines run up into the rear fender, higher than the tank, so liquid fuel cant travel through the vent lines to the canister. If you run the line as high as you can inside the rear fender, there's no way you'll be at any angle on the road that will ever cause liquid fuel to pass through the vent line, so the LCV wouldn't be necessary.