That's good. Hubs can feel quite warm right after stopping but shouldn't make you feel like you're going to burn your fingers. Here's how I set up new bearings and races.
Preload the new races by snugging the nut finger tight, then torque to 20 ft/lbs. If you don't have a torque wrench, or that big of a socket, tightening the nut another 1/4 turn from snug will get you there.
Then spin the wheel 10 or 12 revolutions to seat the races. Loosen the nut a bunch, and finger tighten to snug again. If the nut retainer and cotter pin don't line up with the spindle hole, loosen the nut just until it does line up.
My thermometer is very similar to this one at HF.
https://www.harborfreight.com/121-in..._q=thermometer