Using manufacturer SKU on listings

I manufacture some items that I have been selling directly and through ebay, and want to list them on Amazon. The boxes as printed (I get 1000 boxes at a time) have a GS1 barcode and the manufacturer SKU. Is it possible to sell these through Amazon FBA without putting a sticker on every box with an ASIN? Through an error the SKU got printed on all four sides of the box, instead of just one side with three blank sides, so that would be a lot of work.

These are $10-$20 items, so if I have to reprint the boxes or cover them in stickers it really won’t be worth using Amazon.

Alternatively, if I choose not to use FBA (I can make a perfectly comfortable hourly wage fulfilling these orders, but want the prime boost in sales) then I could use the ASIN and just not relabel the product?