I'm pretty sure the 6.2 in that year is non turbo, really gutless, I drove an 89 Ford F250 4x4 ext cab long box 7.3 non turbo and it was an absolute dog.
The 360 would kick its hiney all over the place, that said I'm sure you could get a turbo kit for it. Now you have to ask yourself why did it need a reman engine at 87K? I don't think the 6.2's were that great of an engine