What level would that be Mark? Whichever league they're invited to join if they reform, the clubs missing out on promotion or being relegated because a reformed Bury are now joining their league won't be happy. For example Chorley FC made the National League last season after years of getting so close. Would sticking a reformed Bury in the National League instead of such a club as Chorley be acceptable.?
All talk of "start at the bottom" is catmuck.
My guess, if they re-form, is that they'll be put in National League North, that's level 6, at worse it'll be Northern Premier and even that is only 3 promotions from League 2. At this level it is regionalised, hence my earlier post, lower level clubs could not afford the safety measures necessary to host a re-formed Bury.
I watch football at these levels & lower, there is no money to be made, it's a level where clubs sometimes cannot afford to be promoted and others refuse it. All clubs in whatever divison Bury end up in, will be rubbing their hands in anticipation of the windfall their home game with them will bring, believe me.