Since the NHL has the divisional playoff format, it should be easier to predetermine the dates for a certain divisions. For example: the Pacific and Metro can play a playoff opener on Wednesday, Friday, Sunday, Tuesday, Thursday, Saturday, and Monday. Atlantic and Central division play on Thursday, Saturday, Monday, Wednesday, Friday, Sunday, and Tuesday. That way, it is more easier for the arena to be booked on a vacant dates that is already predetermined bookings. Arenas can work around the dates for concerts, wrestling shows, any local shows booked months in advance. Arena can keep their eyes on the standing by February to start booking for any remaining vacant slots if teams are out of the playoff or being eliminated from the playoffs by March.
By the time the conference final comes around, predetermine the East/West dates in advance so the arena knows which night it is a potential dates for a playoff game be booked in advance and any remaining eliminated teams can add the dates in last minute bookings the moment they are out from the playoffs whether it's months or within days.
To have teams out of the playoff way earlier, they need to change the point system by having the wins go 3 points, OT wins, 2 points, SO win, 1 point and any type of loss 0 points. With this system, the teams can be out of the playoffs way early than anticipated. I remember the old days, the Canucks clinched the divisional title in 90's by early March and it's easier to book the dates for the playoff home games using the predetermined dates since there's only 4 spots for each division to make the playoffs.