Frazier is pretty obviously a perfect fit for them. They took a flier on Odor, but Frazier can easily hold down the 2B job or play LF, and they don't really need him to be a pure leadoff hitter, so they can move him around.
The Yankees are an interesting trade partner, but it's too early to really bat around names.... though that never stops me. The first guy who comes to mind is Clint Frazier, who has struggled his way out of a starting/prominent side of a platoon role, and essentially seems to have value for them as a guy who can inevitably step in when Judge or Stanton is hurt. He's into his arbitration years now so you would figure the Yankees can replace that depth otherwise, so maybe they've given up on him.
A more attracting and intriguing target, IMO, is Deivi Garcia, who has seemingly been leapfrogged in the rotation pecking order and has more and more doubters about whether he'll stick at SP due to being undersized.
Then the Yankees still have an incredibly deep system, all things considered, so any number of guys could be combined in a package not too unlike the Taillon deal. Hard to speculate at all here, but there are plenty of upside options who are on or near the 40-man, and then guys buried lower in rookie ball or the low minors who would do the trick.
To finish out the thoughts, my assumption would be that Garcia is off limits because he's quality MLB depth at the very least. If we did manage to wrangle that, it's well worth the "risk" of his size IMO. You could have a rotation by the middle of next year that is 3/5 made up of Yankee acquisitions. Frazier on the other hand I think might actually be more available -- they can still option him to the minors, but there might be some worry about tanking his trade value. Acquiring him would be a bolder move by BC, since he's only controllable through 2024. He would slot in immediately and if things clicked, be very useful and perhaps tradable in another year or two in his own right.
With the prospects option, which I would assume is way more likely, it would be hard to argue against BC's recent record of acquiring 18-20 year olds who seem to pop. If he can do it again, all the better.
I would say 2 things regarding Frazier in general: 1) I actually think he'll be pretty highly sought after, given that he might be on pace for a career year and has a history of being a guy who can be very streaky, something I think a deeper, playoff-bound team would find potentially attractive. His approach to me looks like there's less floor, and while his defense has seemingly regressed, it apparently was graded very well before, so I don't think it's a big concern. He's got the ability to play multiple positions, some pop, helpful as a PH on a day where he's coming off the bench, etc., and cheap with one more year left.
2) Without getting crazy, I think it's an important trade for BC. There's no "harm" in trying to just make the system deeper, but BC has really done a lot of that work, and with a certain timing of prospects, there's a sense in which you need to balance things and be able to focus on developing the core you have without exposing too many to the Rule 5 draft, etc. We're not quite that deep, but in the 40-man decisions for the year after this one, there's some tightness and only some of that will be relieved through normal injury and attrition. All that to say that I would rather see him take a bigger swing with this deal than attempt to just get more good depth for the system. How that can happen is obviously easier said than done. Clint Frazier would be a big swing in that direction since he's not really a guy you would build around. But if he came here and popped, then you have a piece of the immediate puzzle sorted who you can eventually think about flipping again if somebody like Mitchell or Smith-Njigba is knocking on the door in another year and a half or so.
This is already overly long, but I would also say that I hope BC isn't shy about putting his eggs in one basket, so to speak. I think the Yankees and Angels especially are two teams that will be feeling a lot of pressure this year. If you can target one extremely high variance prospect as part of a deal that you combine Anderson or RichRod with Frazier, then I think you do it. Try as I might, I cannot convince myself that the Angels would be willing to deal Jo Adell, let alone for solid but so-so guys like our trade pieces (my gut feeling is that if he was available, it would be as a blockbuster for Scherzer). But if Adell kept striking out in AAA at a 35-40% rate, and you think you can shave 10% back off of that, then he's the type of boom or bust player that you cannot get in any other way.