Arch pain could be as simple as feet not being used to being in boots. Could also be due to laces being too tight.... If your skates are sloppy, or heels are slipping - and then you crank down on laces, this is bad and can lead to numbness and pain. Laces basically close the boot to your foot, they need only be snug in the midfoot and forefoot areas especially. Progressively tighter over the instep, and top is personal preference.
Could be an issue with your arch length (some people do have longer or shorter toes vs average, an old school brannock device (metal shoe store measuring device) can measure this. If the arch length is longer than the foot length, that needs to be factored into your sizing... Less an issue for footwear, moreso an issue for skates and ski boots where precision fit is important for control. Longer arch means your "wide spot" of the foot is more forward, so skate toe boxes will feel narrower for example. This same measurement (along with total foot length) can be taken seating vs standing, and the difference is what you are looking for. A change of half a size larger when standing, indicates a flexible foot. Flexible feet will "splay" and widen when load bearing, and generally require MORE rigid or corrective measures from a footbed standpoint. In footwear, less of a challenge. In skates, there already is some hard arch material - trial and (and trying on lots of styles) is key.
With Easton and Mission gone, our options for skates are pretty much limited to Bauer or CCM unless you go full custom.
Look for a good fitter, who understands foot mechanics and skate boot fit, that is the best advice I can give you online... I am from Canada, so no referrals from my end. I spent MANY years in that industry in a previous capacity, so I tend to chime in here and there.
On that note, I spent some time in the ski boot industry as well - we used to cure heel lift in womens ski boots with a heel wedge (picture a thin doorstop, up to about 3/8" thick at the thickest point) inserted under your footbed. This would keep the foot pushed up into the tongue area, and also move center of gravity forward (good for skiing, not so great for skating). If that cures your need to crank laces and stops heel lift, you can always get your skate blades profiled to re-pitch the balance point further back..
Good luck, and LGF