Air carrier Captain reported heavy braking was required when the Tower issued a late clearance to hold short of an intersecting runway that was not in accordance with normal procedures.

Narrative

We landed on runway 14 after a normal approach and landing clearance. The touchdown was approximately 1500 feet beyond the threshold. We briefed exiting on taxiway A. Immediately after touchdown; the Tower Controller instructed us to exit on taxiway B. I told the FO to tell her unable and that we could make runway 10 or A. The Controller then emphatically instructed us to hold short of runway 10 and stated that there was landing traffic on 10. I used very heavy braking and stopped just short of runway 10. The landing traffic exited 10 on an early taxiway and avoided the conflict. We were cleared and taxied normally to the ramp. There are several problems here; including that we were never told of the conflicting traffic and certainly couldn't see it as the angle between the runways doesn't allow this. There is no published hold short procedure for 10 and it is inappropriate to be asked to hold short.I told the Ground Controller on the taxi-in to remind the Tower Controller that when I was cleared to land; no mention of any traffic was made and that the whole runway was available to us. He stated that we were correct and passed the message.