Hi,
Two Trojan T105 golf cart batteries would be a bit heavy
on the tongue ( 62 lbs x 2 = 124 lbs plus cables, etc.)
in my opinion. For your small trailer I would favor a
Trojan SCS-225 130AH 12V deep cycle battery at 66 lbs.
Mine has served quite well for 9 years and is still going
strong. I run
LED lights, XM radio, 600W inverter for
running juicer, occasional ham radio, etc. I use a 160W
solar panel and controller to keep it all running.
Larry H