mulching one year old asparagus with 3 inches of wood chips

This spring I planted one year old crowns, now after I clear off the patch I want to cover with at least 3 inches of wood chips. I'm hoping to slow the weed growth and add value to the asparagus, does anyone see any issues with this? If I could do one better could I layer paper and 3-4 inches of wood chips, I hate weeding, but still have the asparagus come up through this all.

Asparagus will pop right through a couple inches of wood chips. No problem.