To get back to the original question, I have no idea how hot (or not) a brake should be in normal (or abnormal) use - I am not privy to that information. A brake unit at 200C is too hot to touch, as is one at 500C.
Unless you have a brake temperature monitoring system and some sort of guidance, go into the QRH with the prevailing conditions and the landing wt. (max if you don't have it) and see what it says about cooling times.
One of the things to check for if you don't have a monitor system is that that braking energy has been spread fairly equally between units. If one is smoking and another is cold, you have a problem.
Some manufacturers recommend leaving the gear extended for a few minutes after takeoff in certain situations to ensure adequate cooling; obviously not after a heavy V1 cut but it seems to be accepted practice on a 'short turnaround'.