Strawberries like a nitrogen
boost in the beginning for leaf growth and then phosphorus later for flowers. They like sending their
roots about 1ft down since they are
perennial and like to establish themselves long term. If the top layer of soil on your hugel bed is amended and about a foot deep, then you can grow strawberries on them. Also, since strawberries are a perennial crop, even if you don't get a stellar crop this year, you can adjust things for better production in the future without necessarily purchasing more plants/seed. In my climate, alpine do awesome in containers and with a health amount of neglect (zone 5-6 with 30 inches precip), so I can imagine them thriving in a hugelbed, if you went that route.