Combine tomatoes, onion, beet, carrot, red pepper, jalapeño and honey in large pot and add ¼ cup water plus salt and pepper to taste. Cover the pot, set over high heat, and bring to a boil. Drop heat and allow vegetables to simmer, covered, until completely tender, about 40 minutes.
Remove pot from heat, add all remaining ingredients, and stir to combine. Transfer the mixture to a blender and blend on high until completely smooth. Check for seasoning, adding more salt or pepper as needed. If the mixture is too thick, add water and re-blend. (Do not thin mixture too much, as added vodka will also thin mixture.)
Drink Bloody Mary mix as-is, use immediately in cocktails, or transfer to a freezer-safe container and freeze for up to two months.
To create a salt rim, dip the mouth of a large tumbler into a plate of water, shake off excess, then dip in a plate of kosher salt, twisting the glass until the rim is coated (optional). Fill the tumbler with ice.
Fill a cocktail shaker with ice and add Bloody Mary mix and vodka, as well as additional seasonings if desired. Shake vigorously, then strain into a tumbler. Garnish with lemon, cucumber, and parsley, if desired, and serve immediately.