How much is heavy ?
An E rated tire is the common tire for class C’s. I have been running many tires in fleet trucks , IMO, i have not found much difference between good quality tire brands.
Toyo’s are very good tires. A common tire used today on class C’s is the Hankook Dynapro HT RH12 which i have and are fine. Many owners run them with no issues.
If you decide to choose a winter tire , they offer better traction in snow but mostly dry pavement running might cause premature wear. Just something to look into .
I would not base my purchase on which tire manufacturer spends the most on advertising .