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I guess I’m not sure what you want accomplish with this. I’m guessing you are trying to take load off of your alternator and apply that to your lithium battery.
First off, your lithium battery will degrade faster the deeper you draw them. With only a 20 percent draw these batteries last A LONG TIME! Unfortunately nobody wants to pay for a pack 5 times their current draw.
Second, a LiFeP04 is about the most exotic expansive battery out there. This is great for large electric motors as they have very low internal impedance (high maximum amperage). This is not something you would need for accessories.
I would just by an inexpensive RV battery for this. In fact, I would get two and a contactor. Then I could start a small car engine, run all my stuff, and then charge up at night. Finally if you get low on the road and need a charge, flip a switch and start charging. All for less then $500.
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