Why do you need a small charger? Does the truck stay parked for long periods of time?
Will it work? Yes it will. In fact, it may be too much. Remember, after you saturate the batteries with a charge, all you do when further charging is create heat and that'll boil off the water within.
Best bet is a battery minder type setup that switches on when needed and off when not. A unit that is adjustable for maximum charge voltage will also correctly charge and extend the life of your batteries.