Those temps do sound strange. Towing our 19K GVWR 5th wheel on the flat and level Interstate at 65 MPH in 6th, I see transmission temperatures on the EVIC of ~170 degF and engine coolant temperatures of 203 degF, even on 90 degF days and above.
On a recent trip to the Davis Mountains in West Texas, the 35 mile stretch from Balmorhea to Fort Davis climbs from about 2500 ft elevation to 6000 ft. My transmission temperatures never exceeded 180 degF. We had 2 couples traveling with us towing slightly lighter 5th wheels (a 36' Mobile Suites and a 36' Heartland Big Country) with a 2012 Ford F-450 and a 2010 Chevy Duramax/Allison respectively. In their case, they both reported transmission temperatures of 205 to 210 degF during the climb.
Towing on the back roads of the Appalachians, I've seen transmission temperatures climb to perhaps 195 degF. One tow in the Ozarks involved about 1.5 - 2 miles of switchback roads up the side of a mountain that required long pulls in 1st and 2nd gears. I saw transmission temperatures of up to 223 degF at the end of that climb, but the torque converter never locked and speeds were so low that ram air through the cooling pack was minimal - it was about 95 degF outside.
On a long climb, I will see engine coolant temperatures rise to 219 - 221 degF at which time the cooling fan kicks in and pulls the temperatures back down to 210 degF or so before disengaging.
The highest transmission temperature I've ever seen was on a long, steep downgrade with a lot of curves that limited me to 30 MPH or so. I was using the exhaust brake and manually shifted down to 1st and 2nd gears where the torque converter never locked. When I looked down, the transmission temperature was 230 degF, but this was due to fluid shear in the torque converter and lack of ram air through the cooling pack - the engine coolant temperature never got high enough to engage the cooling fan.
Rusty