Hi Michele - I found this recipe for you; it sounds simple but excellent. All the recipes I've seen simmer the artichokes until just tender before grilling, btw. Hope this helps!Grilled Artichoke Hearts with Garlic and Thyme
Serves: 4 as an hors d’oeuvre

Ingredients:
1 quart water
2 Tbsp. olive oil, plus additional for brushing the artichokes
5 thin lemon slices, seeded
3 medium garlic cloves
3 thyme sprigs
8 small artichokes, outer leaves removed, stems and tops trimmed, halved
Juice of 1 lemon
Sea salt

Directions:
Preheat the grill to medium or prepare a charcoal fire.

Combine the water, olive oil, lemon slices, garlic and thyme in a large saucepan. Bring to a boil over high heat. Add the artichokes. Return to a boil. Reduce the heat and simmer, until the artichokes are tender, about 10 minutes. Drain in a colander.

Brush the artichokes with olive oil and set on the grill. Cook until lightly browned, about 3 minutes. Sprinkle with the lemon juice and sea salt.