My asparagus bed is new. I put the crowns in just this past December. I was not as aware then as I am now of the problems moles/voles/gophers can cause. I planted the asparagus directly in the ground... most of the rest of my garden is in raised beds. When I dug my potatoes and found lots of tunnels... also planted directly in the ground, I was very disappointed with the yield. That is when I decided I was not planting anything directly in the ground... all of my raised beds have hardware cloth under them. I went to special event at a nursery where there were lots of gardening gurus. I asked about moving my asparagus bed, and his advice was that if I was going to do that, that I should do it right away. It has been 10 days since I moved my 11 very good healthy plants, maybe some are 3 ft high, into a new raised bed. I've been watering them fairly frequent and they all seem to be doing very well.
You may have mature, established plants, which is not anything I have experience with.
By the way, I'm south of San Antonio.