Just thoughts that the asparagus is the longer term plant involved and should be the last to risked.

hi there,,,we aways grow squash and pumpkins in our asparagus, the plot of asparagus is about 60'X 30', we make a long hill augmented with manure, plant our squash(lay down a drip line next to the small plants) and let it go,,,we have been doing this for 6 yrs or so and have seen no problems,,,,the vines sometimes pull over the tall ferns, the heavy shading does suppress the weeds...it seems to work good for us,,,we also have some strawberries at the opposite end from the squash, that experiment seems to be working good so far, we let indian runner ducks in the asparagus patch in the spring until the spears start to come, by then the berries have been seriously slug reduced and we have had nice berries, they have the same picking schedual so they both get picked regularly.