Tokens
I love this. Maybe not every win though.

Example:
Dreadwyrm piece = 30 Tokens
5 Tokens/Week

So if RNG is not your side for that piece you just cant get, then it will take about a month to earn it. I feel like that's not to much time nor to little.

Quote from OP:
"it takes MONTHS to ever get the item they wanted, let alone NEVER seeing something drop"

I feel like this sums up the point of doing the raids in the first place, its suppose to take a long time to get the best gear. Will some people always get lucky and get all their pieces fast? Yes, this is going to happen with any system we implement.

Many people have to form their own statics due to limited members in FC/LS or FC/LS already has statics established. Even if we increase the raid size from 8-12 this trend will continue at some point.

However I agree that a Token system would only compliment the current system.

Some members of your static already got their items? Great another member can join and possibly earn some loot
Raid night and your a few members short, you have some other members who could join, but they have already gotten items? The token system will give incentive for those players to continue helping