Using cycle with tube for long distance
No, a tube will not overheat in those conditions.

Even riding very fast will not heat a bicycle inner tube. And even an under inflated bicycle tire will not warm appreciably.  An under inflated tire can fail or cause crashes but no it is not going to overheat as is the case with motorized vehicles.

Tandems descending 2+ mile steep (6% and greater) hills have been known to blow tires off of rims, but the tandems are 300+ pounds and the blown tires I'm aware of were all road tires 28mm or narrower AND the tandem had rim brakes. Tandems with disk brakes have no issues with overheating (blown) tires.

The larger the tire the more air volume so it takes more heat to warm the air and cause the tire to overheat.  

The wider the rim the more heat will be dissipated. The air rushing against the rim &amp; tire will cool the rim and tire.

A bicyclist simply doesn't have enough energy to appreciably warm a tire.