A trailer is the way to go. I used to try to move wood in my 1/2 ton pickup, and they just don't hold much, in terms of weight. I'm pretty much 100% oak, which weighs roughly 5400 lb per cord when green.
I thought about going to a heavier pickup, but then you're still limited to a relatively tiny bed that's too high off the ground. They also cost a heck of a lot more than a trailer, and I don't really need a 1-ton pickup as a personal vehicle. So, I bought a tandem axle closed side landscape trailer with a nice ramp on the back, which was maybe only $3500 brand new. Now I can also haul my tractor or zero turn around, when the need arises, and it holds several times as much wood as any 1-ton pickup, at 5% of the cost of the pickup.
For me, the 16' size was ideal. Any larger than that, and you're going to need more than two 3500 lb axles under it, as you'll be quickly over-weight with wood. I can load mine with a single layer of rounds, my rounds mostly being 18" to 36" diameter. The 16' trailer is around 20' LOA, so it will still fit in most garages or storage buildings, if you want to keep it out of the weather.
