Personally I wish the H3's didn't even come with the tpms. It's a pain in the rear for such an easy task that can be checked by hand with a gauge at about 30 seconds a tire.

But then again, when driving around everyday seeing how many folks are running with a couple tires half flat tells me not everyone is very diligent about checking their air pressure.

 

I'm thinking that a good shop could wave a magic wand and detect the bad sender,for a few dollars. Or determine if its a pickup unit at each wheel.
To save a few dollars and spend a day moving tires around you might do the same thing.A lot of work. Block the 4 corners and move tires till you reach a conclusion.
I'd drive to the nearest good tire shop and pay the guy.
Remember,theres a lot more stuff outside the tires to go wrong,than inside. Did you move,loose a pickup going thru your favorite mudhole or on that gravel pile.? Now i want to see some pictures of the pickup units.

 

Had same problem today because temp went down. Driving to work early AM and tpm comes on. Had the shop check and reset the sensors but had to change the passenger rear sensor on the wheel. It still would not clear the tpm light and they said it must be the unit on the caliper. Is the sending unit the one on the wheel or the calipers?????????? Anyone have any idea on what it would cost to fix the one on the caliper? I take it that the 2007 h3 had the sensor in the spare tire also.