Taxes with Dropship

I'm setting up a store and I've been struggling with finding answers to tax questions. My dropshipper, SPOD, has a nexus in 22 states, will collect taxes on orders from those states and pass that on to me. So it appears that I need to pass those taxes on to my customers in those states. I can do that using Taxjar, but I guess I would also need to register to collect taxes in all of those states? There must be something I'm missing, because that seems like a huge time suck. I don't expect to do anything more than $5K in sales in any state.