I'm a bit of dick on this forum but even I can admit this conference league is a pretty horrible idea.
A normal side finishing 6th and being relegated is just nonsense.
The only way it could almost be passable is put it to a 16/18 team league. The 4/6 B teams, 6 LL, 6 HL. 3 teams down, 2 teams up. Every team can go up and down like any normal league.