Certified GKH Gardening Expert
So glad you enjoy our newsletters! The best way to deal with weeds in your asparagus beds is probably to mulch them with straw or bark when the asparagus is a few inches tall. Of course, pulling them by hand is an option. In early spring, you can use a pre-emergent such as corn gluten meal. After harvest you can use a post-emergent herbicide.
This article mentions these options but ignore the old-time-once-used salt method. (salt can render soil useless)