The asparagus and strawberry pairing seemed a good enough idea that last year I tried it. The strawberry runners quickly filled in through the deep straw mulch, and neither the asparagus nor the strawberries seemed bothered by the other. What had me pulling my berry plants out over the winter is that I couldn't beat the earwigs and slugs to the ripe berries. I'd like to keep the deep mulch, and anyway the less bug-friendly mulches like sheet plastic aren't really asparagus-friendly. I love strawberries and these ones were productive, just I didn't get any. This year I'll try to be satisfied with my two months of blackberries.