First time grower here. I planted some Cascade and Fuggles rhizomes using a very simple tent trellis setup. Unfortunately, a week or so after planting the rhizomes, some sort of critter decided to dig under the chicken wire fences and eat about half the rhizomes. I live in a suburban area outside DC, so I've got the usual rabbits, deer, squirrels, raccoons, foxes, etc.
What can I do about this? I admit that I didn't dig terribly deep, under the assumption that the shoots were at risk, not the rhizomes themselves. I've ordered some animal repellent and am going to take a stab at planting another batch of rhizomes, but is there some sort of trick of the trade I'm missing? I'm not really much of a gardener, so even what might seem like obvious advice would be appreciated. Would dumping mulch on top help?
Here's a picture of my setup, in case it helps visualize what happened:

What can I do about this? I admit that I didn't dig terribly deep, under the assumption that the shoots were at risk, not the rhizomes themselves. I've ordered some animal repellent and am going to take a stab at planting another batch of rhizomes, but is there some sort of trick of the trade I'm missing? I'm not really much of a gardener, so even what might seem like obvious advice would be appreciated. Would dumping mulch on top help?
Here's a picture of my setup, in case it helps visualize what happened:
