What would it realistically take to get that pick? Is Ullmark enough? If not, what else can the Bs throw in (I'm assuming there's cap/salary issues to take into account)? Is there a centerman eligible for the draft and possibly available at 10 that makes this worth it? Even if the answer is no, getting the #10 pick strikes me as a decent use of Ullmark thru the lens of asset optimization.
But I don't follow the league that closely, so I don't state that position with much confidence.
I don't think you're going to get to #10 with Ullmark.
The Cap Friendly trade filter doesn't let me filter by position so I'm kinda going off the top of my head but you typically don't see goalies moved for first round draft picks. The last goalie traded for a top 10 pick was Corey Schneider, 11 years ago. Schenider, IIRC, was 27 and under contract for a few years whereas Ullmark is 30 and set to be a UFA after next year.
The best comp for Ullmark, IMO, is Darcy Kuemper who was traded from Arizona to Colorado as he was entering the final year of his contract in 2021. That deal was Kuemper at 22.2% retained for a Conditional 2022 first (top 10 protected), Connor TImmins (former high draft pick who had been an AAAA type at that point) and another conditional 3rd (if the Avs won the cup and Kuemper played 50% of the playoff games, the pick went to Arizona).
Among the rumored teams I think the plausible picks that could be in play for Ullmark are LA at 21, Ottawa at 25 (the Bruins pick), Carolina at 27 are probably more in range.