What type of lithium battery is best for the J35B-L or J35D?

The J35B-L or J35D can be used with any brand LiFePO4 lithium battery.

We sell 2 brands, Zeal and Invicta:
https://teambmpro.com/product-category/deep-cycle-lifepo4-lithium-batteries/

The battery type and capacity will be determined by your caravan.

Inverters especially will have requirements that must be met with your battery choice.

Refer to the below link for more information:
https://teambmpro.com/?s=lithium