Bad idea all around, IMO.
1. Distance could very easily be an issue.
2. Do you know what pressure your factory tpms gives the warning? It may or may not be where you want your trailer tire tpms warning.
3. When not towing, your tpms light will be on in the truck
Why not do it the right way, get the add on TPMS (like the TST system)? You don't have to break the trailer tires down, it attaches to the valve stem. A piece of vacuum line around each valve stem will keep them from flexing with the extra weight of the sensor. Done. Plus, you can then adjust the pressure the and temp the TPMS will alarm, as opposed to being stuck with the factory default for the factory sensors.
Richard White
2011 F150 Ecoboost SCREW 145" 4x4
Firestone Ride-Rite Air Springs/Air Lift Wireless Controller
2006 Sportsmen by KZ 2604P (30')
Hensley Arrow