Hard to say if the season will be open by then. If our collectively crossed fingers help, Baker would be among the 1st if not the 1st to open for business. Crystal opening up only the upper gondola-accessed glacier would be another possibility.
If I were you I'd hold off on booking a place. If you do head to Baker, you could also consider reserving a place closer such as in Glacier or Maple Falls. Just know that there is basically no cell reception out there at the base of the mountain, and not much in the way of restaurants/bars. When we stay there it's generally a cabin or vacation rental with a group, although there are a couple motels/inns I believe.
16 Gnu Swallow Tail Carver . 16 NS West . 15 NS Snowtrooper BIA
16 Burton Genesis X . 15 Now Drive
16 Flow Talon . 14 Flow Hylite