My guess is that since the Blue Jackets are the primary (and really only) tenant at Nationwide they could to some degree ask the NHL to not schedule them for home games for a week or so (similar to how the Spurs take a long road trip for the Rodeo). I don't think melting and clearing the ice would take too long and setting up the seating isn't really any different than any other non-hockey event they hold (estimate a day or so to get to this point). The meet is 3 full days. From what I have read the minimum time to reset the ice is 36 hours but most venues prefer 72 hours. So you could conceivably have a home CBJ game Tuesday, melt overnight, cleanup/setup Wednesday, meet Thurs-Sat, start reicing Sunday, and finish with a CBJ game Wednesday.
Honestly, the best bet might be if you could find another event that wanted to go on around the same time and split the deicing/reicing cost.
It's my understanding that some of these facilities you don't need to melt/reice. They have insulated floors that go over the top of the ice. They typically don't melt the ice until the end of the season. The process of putting the insulated floor over top of the ice and converting from a hockey arena to another type of arena can take as little as 90 minutes up to a full day depending on equipment and staffing. Not sure if Nationwide has those floors available since it's mainly a hockey arena but I'm guessing they might if they host other events
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