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I think entering an "instanced" zone would be better for everyone involved. Allow it to be solo'd if people choose to solo.
Once per RL day is pretty bad; in a span of a week you could get a lot more done with an empy weapon in regards to time/reward. Ways of going about this:
1) Real instanced zone where x groups can enter y WoE zone at one time so no group is prevented from entering if they choose. This would allow once per GAME day entering at minimum; let people grind if they want to. This is the preferred choice, everyone will be happy imo.
2) One zone, x group lays claim to y zone, z group prevented from entering. If this is the case the cooldown to re-enter should be at least a couple game days to prevent monopolizing. This will just upset everyone, though, because people will still be pissed at soloers for wasting everyone else's time. This option is what is wrong with this game (time spawn nms you compete for, placeholder nms, being locked out of a particular zone because another group is in there); if I want to fight a certain monster or group of monsters, I should be allowed to. If this is the method chosen, I can gladly say I will not enter WoE for any reason, and most people would rather just work straight E weapons like they are now.