Feeding syrup during a flow will wreck the cloudberry honey your trying to get your bees to produce. Don't do it. If your bees need syrup, wait till temps are in the 50's (otherwise its too cold and they won't take it anyway), and only to prevent starvation, not to get "more specialty" honey, that would be kinda underhanded I think and wouldn't be pure cloudberry honey at all. If they have nothing now, give them dry sugar, fondant or (something new to me) a candy board. If willows are open during same time, you shouldn't need to feed them as they'll be taking care of business, provided temps allow it. "That's" why its a "specialty" crop.
thomas