CP32 recommended a minimum of 90F rise in temp from the carb heat system. In other words, if the OAT is 120F, the air temp delivered by the carb heat system should be 210F, which is well below the 400F limit that the various hoses can handle.. It seems that your system isn't getting the required 90F rise - if it were, the carb temp would be warmer.
I think I'd check to make sure that there isn't a cold air path (leak) that reducing the effectiveness of the heat system. Is the carb heat valve fully closing-off the cold air path? Is there a leak in the carb heat muff that is allowing cold air to bypass the heat transfer area? Is some part of the induction system deforming under engine vacuum while the engine is running?
What are the OAT's you are operating in?
Regards,
Matt-