I have a phisycal product with many many combinations. E.g.: a mug which is available in 20 different colors and with 30 different prints. This means 600 combinations. We don't have stock. We don't have different SKU for different color-print combinations. We don't have pictures for all combinations, prices are same etc so there is no reason why the 600 products should be upload one-by-one as 600 different commerce product variations.
I would like to handle this product as ONE single product (one SKU: one product in one product display) which have 2 special "parameters" show only in the add to cart form: color and print.
So a customer on the product page could choose these 2 parameters then add the product to a cart and these parameters are not not formed to product variations, the product variation is fixed.
In this case he add the one product to the cart and anywhere I shoud store his color and print choice in the cart item. But.. how? Is there any solution for this use-case? Can you hint some starting point for solving this task?