bridger bowl is just a different type of mountain. Its a non profit that is run by a community organisation, vs the resort feel of bigsky and moonlight. The terrain and lift layout at bridger focus on the steep technical riding, not long groomer highways.
what i love about bridger is how easy it is to get into challenging terrain, right off the lift, and if you are willing to hike a bit there is a lifetime of lines that will challenge the most experienced riders.
bigsky and moonlight have steep terrain off the tram, challenger, headwaters but lacks the diversity of lines and zones that bridger has. The wind is also much kinder to the snow at bridger, keeping most of the rocks covered.
At bridger the ridge terrain and slushmans lift require a beacon to access. This has a lot more to do with keeping people from getting over their head than snow safety. If you are interested message me and i'll point you in right direction as a lot of the good runs at bridger are not obvious.