It's never good to keep shooting a barrel when you grab it and it's too hot. Sometimes it's a must when on a hot day the course of fire is twenty or more shots. You try to hold off as you have time, but in a given condition and time getting short, you need to shoot!
That said, one way to make your barrel last a little longer, as heat is a good indicator it won't, is to find accurate lower pressure loads. Say you have a load of 93% full of H4350. Try a slower powder that will give you a 100% or even compressed load of H4831, which is slower. If your barrel is long enough you'll get a longer push on the bullet giving you that velocity. You will probably also reduce peak pressure a few thousand psi.
The history on this is during WWII we used 4895 in the 30-06 (we had to as the long push from slower powders bent the op rod). It isn't the most useful powder in that case as it's too fast. A good indicator is it's also useful in the .223. Slowing down the powder speed to match the case you are using will reduce heat by reducing peak pressure.
Double base powders also cause increased heat. So, if you substitue a double base for the load you want to arrive at, make sure you give yourself more room for temperature allowance. Double base powders are more temp sensitive, usually, and harder to ignite in the cold.
Newer double base powders have burn retardants to help alleviate that latter statement I just made. Powder manufacturers are really getting that dialed in quite well.