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I am guessing the EGT's are related to your 37's. I had the same issue when driving around 45-55 mph. It did not want to shift out of overdrive and the low RPM (1200-1300) caused high egt's when trying to accelerate. I stopped using overdrive unless driving about 70+ mph without hills. Now I changed gears to 4:56 an don't have that problem.
Tranny's getting waaaaayyyy too hot, too. You need to get some gears or smaller tires!! I don't let mine get over 220ish, and I'm running syn fluid. If you've got dino fluid in there, you better check it. Service life goes way down at 250* temps.