*To roast beets, preheat oven to 400°F, wrap beets in foil pouch and cook to tender, about 1 hour to 90 minutes for larger beets. Let them cool in the pouch then just rub off the skins with paper towels. Store peeled beets in a plastic bag for 10 days and up to 2 weeks.
Grind nuts to breadcrumb-like consistency in a food processor. Place black beans in a bowl and mash them with a fork, then add garlic and egg, and stir to combine. Add shredded/processed beets, lemon juice and rice, and season with salt, pepper and paprika. Stir to combine and form 4 patties.
Heat a large, nonstick skillet over medium-high heat with oil, 2 turns of the pan. Add patties and cook 8 minutes, turning occasionally. Being careful not to overcook! (If making cheeseburgers, top patties with cheese during the last minute or two of cooking and tent with foil to melt.)
Combine yogurt or sour cream with horseradish, herbs, salt and pepper.
To build burgers, on bun bottoms, layer dill pickles, a patty or cheese patty, lettuce tomato, onion, some sauce and set bun tops in place.