When it comes to mufflers the problem is not as much with car not being driven at all, but with car driven short distances, where burning gas creates acids which are not evaporated due to short running time and muffler never getting hot. Those acids are the main culprit of quick muffler rusting. Since TCH is designed for low emissions, it will keep engine running whenever the cat converter drops bellow operating temperature, which should keep muffler warm as well, therefore muffler rusting will be affected much more by how long your average trips are than by hybrid design of the drive train.
As far as tires go, most of the problems are created by underinflated tires, not overinflated and as long as you keep them inflated at or bellow maximum pressure , everything should be fine. Since tires loose pressure over time no matter what and very few people check them on regular basis, overinflating has additional benefit that there is less chance of tire having too low pressure due to owner not checking it on regular basis.
I know I didn't check tires since the weather turn cold, back in November, with normal 32 PSI setting they would be around 28-26 PSI by now, but since I started with 36 PSI, I bet they won't be bellow 30-32.