Most chassis type greases used in wheel bearings have what is called a dropping point of between 275-325*... . Dropping point is a test on the ability of a grease and when it will fail with temperature and gravity will take over and the grease will flow away... .
With that said, I'd worry if and when I would see over 200*F. I check hubs, tires, when we pull into a rest stop... . I like to see the tires below 150* and if the bearing are set right I usually don't see hub temperatures over about 125-150*... . the exception to this is if I've just used the brake coming off the freeway into the rest stop... its not uncommon to see several hundred degrees in brake drum temperature and some of this heat will migrate to the hubs and bearings on long down hill runs... Even our large work trailers rated at 22K lbs never seem to run any warmer... .
I personally don't like to see more that +- 20* per tire and about that on the hubs... . we've weighed our 5er and know that both axles support the same weight within 200 lbs... and the whole trailer is about 13K lbs... 3 on the tongue and about 5K on each axle. .
We use a synthetic grease with a dropping point of 550* in the HD Clutches we build and we buy that by the barrel... . I just scoop some of it up when the drum is empty and take it home... . that's what I pack my bearings with... ... I was taught 2 ways to deal with preload... one using a torque wrench and the other a rule of thumb..... I've used that rule of thumb over the torque wrench all these years... and we've done well with that...
Remember all grease is, is a chemical that supports and holds oil for lubrication and its only as good as its ability to handle heat, and the other things that try and invade its world. .
Most new axles have a grease fitting on the end of the axle shaft for greasing them... . we end up selling a lot of backing places and electric brake systems because of 2 things... . either the bearings get no grease, and the bearings fail, and damage the shoes and backing plate, or they over grease and all the excess is purged from the bearings into the hub, out past the seal into the drum and backing plate... . remember that the wheel seals usually only have one lip... to keep water and dirt out and will let excessive grease push out past the seal... .