CLP, here too, but yes hi-temp grease is VERY INTERESTING .....I've been using CLP on mine but the hi-temp grease is interesting. I may try it. Mine sees light competition use perhaps 200-300 rounds between cleaning but I have noticed running it wet makes it get really gunky pretty quickly.
Synthetic grease:
Mil-Comm TW25B on my AR-15
Amsoil Full Synthetic. Resists breaking down in heat and I can apply it with a syringe with a blunt needle tip, and not have it all over my hands.