Hi, we are german travellers and currently in the US with our HZJ78 Troopy...I had a lot to do with Landcruiser in my job and here are some suggestions for you.
A Troopy is and will ever be the perfect traveling vehicle if you need 4wd, reliability and clearance. But the space inside is limited and troopys are mostly pretty heavy after a full conversion.
If you can live with "some" power that gets you everywhere (but not fast) the 1HZ is the best option. But drive one before you buy it. For Americans it's mostly unbelievable to drive a vehicle with 130hp and 7500-9000 pounds...
If you do an engine-swap (no matter what engine but the hd-t is a nice choice) you are looking at about 30-50k for an empty (but fully inspected and ready to go) vehicle.
What's about an FZJ78...yes, it's not as fuel efficient as an 1HZ or hd-t but it has a lot of power, a nice gearbox and it's available from stock. And really reliable.
If you plan to travel only in hot or warm climates an 80 might be the best option as an American. Get a cheap FZJ80, convert it, travel with it and if you feel like you'll need a new engine in a few years, just convert it to whatever you like best (there are so many options).
80s have very limited space but with some nice drawers, a rooftop tent, Pop-Top or trailer you'll be fine most of the time. And you have a very reliable all-day vehicle.
And believe me, if you're a bad (or no) mechanic, you could spend thousands of dollars looking for parts and finding someone installing them for you. In that case a common vehicle (like the 80, depending on your destination) might be the better choice for you...