Add a "tax" surcharge to a state with no sales tax

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We sell and ship alcohol, and for shipments to NH we need to recapture the lost alcohol tax on sales shipped into the state.  So we need to charge customers 8% of the product value and remit that to the state.  The problem is NH has no existing sales tax, so I can't do a sales tax override for NH (like I do for other states where we need to collect something similar).

I can't for the life of me figure out how to add a surchage that is 8% of the product sale on shipments going to NH.  Anyone have any ideas?

Thanks in advance!