At 6'5" you will want to make sure you have a bed that is at least full-size (some camper beds are a little short). A popup or hybrid trailer with a king-size bed might be a good option, and worth asking about when you go looking.
Great summary on popups by RoyB. We had one for 17 years and loved it. Disadvantages are similar to those of tenting (except for the sleeping on the ground part) - mostly problems in bad weather or bear country.
Another option you could consider in your price & size range would be a hybrid trailer - it's a full-height travel trailer with fold-out beds similar to those in a popup. It has the advantages of being able to load the fridge without crawling in on your belly or setting the camper up, more storage space, a bathroom with toilet & shower, and a little more comfort in bad weather, but you still have the access to lots of fresh air via the bed ends. Some of them may have king-size beds available. As previously mentioned, with a 1-ton truck, you would have no problem pulling one of these as well.
Good luck with your search!
