How you would like to utilize this shipping value will depend on how you want the shipping calculated. Is this a flat shipping rate for the item, or do you multiply it by the quantity?
Once you have determined this part you would then create a shipping charge rule that will be based on the subtotal of either this shipping price or total shipping price column that you have.
Also, just FYI if you set the value of a hidden form element like this it is possible for users to edit this value client side. If you are calculating the value server side you could just make use of a server side variable that holds this value for the shipping price binding in your add to cart server behavior.