I think the belief is should SNHU sponsor D1 hockey they'd be able to use the down town arena as there isn't much going on there. Until the Bruins move their AHL team there (maybe

). However, SNHU doesn't fund their programs well and has been cutting back on many things to buckle down for the storms ahead in higher ed. With that said, I fully believe their current "leadership" wants to move down to D3, but they cannot even hire an AD. So they'll likely wait until the inevitable collapse of the NE10.
With the Saint Mike's situation I know SNHU is looking at the possibility of moving hockey up to D1 as an Independent. I always figured they'd just shut down the program, but they have a lot of money coming through tuition tied to that team. So it seems they were look to keep it going as long as possible. They'd likely lose every game in D1 as I doubt they'd financially back the program as would be needed.
Long-term I suspect the NE-10 either looks to move down as a conference or folds and the remaining members drop to D3. I know Bentley and Assumption are mentioned above as possible move ups, but I think its more likely in the modern NCAA they go down. No one wants to look like Stonehill or Merrimack.