In a large bowl toss bread cubes with 2 Tbsp. oil, 1 tsp. of the garlic, 1/4 tsp. of the salt and 1/4 tsp. pepper.
Heat a 14-inch flat-bottomed wok or 12-inch stainless-steel skillet over high heat. Add bread; stir-fry 2 to 3 minutes or until toasted. Transfer to a paper towel-lined plate; set aside.
Swirl remaining 1 Tbsp. oil into pan. Add shallots; stir-fry 1 minute. Add remaining 2 tsp. garlic, sugar snap peas and ham; stir-fry 1 to 2 minutes or until sugar snap peas are bright green. Add peas, remaining 1/4 tsp. salt and 1/4 tsp. pepper; stir-fry 1 minute or until well combined. Swirl in whipping cream; stir-fry 1 minute or until sugar snap peas are crisp-tender and cream thickens. Stir in half the mint. Remove pan from heat.
To serve, top with butter. Sprinkle with remaining mint and bread cubes.