Heat oven to 325°F and set a rack over a sheet pan. Whisk eggs, milk, sugar, 1/2 teaspoon vanilla and salt in a shallow dish.
Mix ricotta with honey and the remaining 1/2 teaspoon vanilla in a separate bowl and refrigerate while cooking the pastry.
Heat a large griddle to about 325°F or medium heat. Melt 1 tablespoon butter over half the cooking surface and dip four croissant halves briefly in the custard, about 5 seconds per side.
Cook dipped halves for 2 to 3 minutes per side until golden, handling gently with a broad spatula. Transfer to the oven rack and repeat with the remaining butter and four halves, discarding unused raw custard.
Bake all the halves for 5 to 8 minutes until any custard in their thickest portions reaches 160°F. Rest on the rack for 3 minutes.
Spread ricotta over the four bottom halves and divide sliced strawberries over it. Replace the French-toast tops without pressing and serve immediately.