A while back when the Riverstone attendance started dipping and Lowell was beginning to get hot I suggested a holiday tournament with UNH & Lowell vs two invitees in Manchester as it is nearly equidistant for the Riverhawks, could easily repackage this in to the Icebreaker.
Though now, several years on, I dread to think what our attendance would look like for a game in Manchester... Might not be great for the brand.
You've been around for awhile, so you probably remember Governor's Cup, which was a precursor to the Riverstone and the now-SNHU Arena. Four state schools, UNH-UML-UMaine-UVM (then still in the ECAC), playing a two day tourney which IIRC was either around Thanksgiving or right after the Winter break. I think it only ended up lasting two seasons, one in which Lowell hosted, and the other which I believe UNH hosted on campus. I don't think the schools liked it, because (aside from UVM) these would be non-conference games against conference opponents - just like a certain Boston tourney in February, which eventually got over the hump and became a "thing" long ago because there weren't rigid conference schedules in the CHDA (college hockey dark ages - not my term BTW). I thought they gave up too easily on Governor's Cup, but I can't see them revisiting it because now all four programs are in the same conference.
Your idea does work to the extent it excludes Dartmouth, which has their own Ledyard thing going on long-term, and Lowell is fairly local, so they won't see this as a logistics issue - plus you can sell Manchester to them as a neutral site. My guess is that Lowell is probably already "mowing UNH's lawn" in the Nashua area, and might see further incursion into Manchester as a fantastic opportunity to broaden their market- something that the folks in Durham have inexplicably struggled to get their heads around for most of the last generation. Figuring out who to round out the tourney with could be a lot of fun, and keep things fresh.
I really do hope the day comes when SNHU commits to upgrading its hockey program (probably along with hoops). There is an opportunity for someone out there to become the "Kings of NH Hockey" again by capturing the Queen City, and if UNH isn't gonna take it, it's right there on a platter for SNHU, which seems to be a pretty ambitious institution that already has long-term naming rights on the facility. What better way to optimize an asset than use it for growth of your own program?