While the chances of it happening are slim, if he can stay healthy and play on a team where there is the right sheltered offensive role, I think he could produce at an NHL level.
Both health and drive have always been the knock on Logan Brown. Going back to his draft year, he was seen as a big boom/bust type player. Where if the Senators got what he was during his draft year, they get a top 3 talent at 11th overall, but if he is more like he was prior to heating up, they got a bust.
Right now, he's staring down at last-chance city, as far as making real NHL money and not having to work at a Swedish grocery store.
There is a reason he keeps getting shots from different teams. His size and skill is a very rare combination of assets, and this isn't a situation where he has never shown anything in his career. Right out of the gate, he produced at a high pace in the AHL as a 20 and 21 year old.