As an owner of a 2H-powered 60 series (HJ60 cannibalized for transplant into a FJ62 HJ62), and as a friend of a fellow mudder who had a BJ60 (3B) transplanted into an FJ62, I think the average driver will prefer the 2H, and Mel Lowe (the BJ62 owner) would likely agree. It is quieter, parts are more available, and the 2H replaced the 3B in the vast majority of markets for a good reason. The 12HT, with its piston skirt cooling (not to mention turbo) is a better motor by all accounts, but unless you undertake a motor swap (not as straight-forward as many would have you believe (and I know from first hand experience) you will not be able to legally import an HJ61 (the only vehicle equipped with the 12HT) until about 2012. An Aussie spec HJ60 with respectably low miles and a truly rust free body and frame is not a particularly easy find, nor cheap. A good one will set you back $8-10K (USD), not including import costs, a cherry, $15K plus. I am sure David (Tencha) will agree, the bulk of Latin American ones are of typically poor condition and even worse maintenance, but if you find one, you'll get the benefit of Left Hand Drive. My RHD Aussie HJ60 was easy to get used to, but is not for everyone. Importing Canadian ones is not an option either, because they only got the HJ60 in 1986/1987, and are not yet 25 years old, thus not legal in the States. The BJ60 would be a fine choice, but you will not like it much naturally aspirated if you drive on freeways or in mountainous areas. Turbo it, and it will be better than a stock 2H. Turbo a 2H and you begain to approximate the HJ61, believed by many experts to be the pinnacle of Land Cruiser engineering, and possibly of all passenger 4 wheel drives. Good luck!
BTW, you are not looking at H and B motors, but only the 2H and 3B, if you are into 60 series. Those are the ONLY diesel motors they were factory equipped with anywhere.