Mix the garlic, shallot, olive oil, balsamic vinegar, basil or cilantro, salt, and pepper together in a large bowl. Place the steamed artichokes in the mixture and marinate for 15 to 20 minutes.
To make the aioli: combine bread crumbs, white wine vinegar, garlic, salt, and egg yolks in a food processor. With the motor running, slowly drizzle in olive oil to make an emulsion. Add white pepper and hot sauce, to taste. Add fresh basil or cilantro and pulse to combine.
Preheat a grill.
Remove the artichokes from the marinade and place on char-broiler or barbecue fire with the leaves of the artichoke up. Cook for 4 to 6 minutes depending on fire temperature. Remove from fire and garnish with herb aioli and caviar of choice.
Recipe courtesy of Michael Jackson, Charlie Moss's