I think that the lack of production of Beauvillier is also due to a lack of confidence with the puck. He sometimes seem nervous with the puck and seems to want to do too much or do everything at the same time. Moreover, there is no "real" place for him in the team. He was drafted for his offensive skills in the first round, but since entering the NHL, he has mostly been used as a stop-gap. He played for three games with Barzal and Bailey, then it's on the third line, then we send him centering the 4th line, back on the third line, to the wing, at center, back to the wing!
What would make sense would be to send him to the American league. There, he could have a better ice time, play in the first line (probably) and thus develop his offensive game. He could probably be used also in PP, 4on4, 3on3. All of the game situations in which he was often used in the junior ranks but almost never with the Isles.