I have the same truck and similar size trailer. We spent 2018 winter in the area you are going to visit. I used tow/haul mode and would switch the transmission to manual and manually downshift on the downhill sections to preserve the brakes.
I-70 thru Colorado is your easiest route. Alternately swing south through southern Colorado and visit Mesa Verde NP on your way to Utah.
PM me if you have any questions.
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2007 Outback 23RS
2016 Silverado 2500HD
2004 Honda Goldwing
2015 Catalina 33RETS
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