I have a similar system to the Hopkins breakaway system on my TT. I use a small 8ah sealed lead acid battery. I chose to do it that way since the breakaway switch is "mission critical" and I wanted the separation from the TT's power circuits. If the house batteries become drained, the breakaway system is still operable.
Presently, the breakaway battery is recharged by my tow vehicle and the house batteries are not. That will be changed in the Spring so that all power from the tow vehicle is shared. It involves some wiring and diode installation. I have solar and haven't traveled far so my house batteries are charged adequately by the solar. I guess a guy could buy a small solar module for the breakaway system, also but that is really overkill, IMO.