I'm just going to let this fade away. For me it's not a matter of being a Dudley Do-Right. I'm basing my opinion on the way you worded your statement of..."The prices would have to be raised to cover it"...I understand that as meaning the shipping expense will be integrated [hidden] in the manufacturing expense and added to the retail price. When it comes time to produce the invoice for your book-keeper he/she will see only 1 item on the invoice -- a revenue of some dollars -- he/she will enter it into the ledger as revenue, you pay tax on the hidden shipping plus you've lost the tax credit that you would have otherwise had if it was a separate item on the invoice.
If there is a book-keeper or accountant here maybe you can straighten me out if my logic is wrong. How would you view this situation. If I reply anymore here I'll just be repeating myself.
Hope you figure out whatever will work best for you dpd1.