I don't think any queue will ever solve the support problem

This is a general overview, but among the vast majority of players: nobody wants to support other than support mains or fills, and even they are getting tired of having the same role. I think it's not just the cause of a queue problem, but a symptom of an even bigger problem.

And that lies in the fact that support doesn't appeal to anyone else who could go mid, top, jungle, or adc and can feel validated by their kills, which many people feel are 'earned,' whereas a support getting a kill is either 'luck,' a serious misplay by an enemy champion , or a 'killsteal.'

So, maybe instead of trying to treat the problem of the amount of times your secondary support role gets you support, we can cure the problem by answering the underlying condition: how do you make supports interesting to play that more people would not regret choosing the role, enough that people could play the same role now but enjoy being able to impact the game meaningfully, maybe without necessarily getting kills?

I was thinking, maybe something could be done to implement a means to promote wandering supports, you know... something like a second jungler who ganks lanes to help more than just the bot lane? Junglers do a whole lot without having to necessarily get kills, would be interesting if supports could wander the map, helping other lanes, perhaps running from enemy junglers.

I mean, supports hate being the ADC's 'butler,' as it's often referred to; until the laning phase is over, a little lane variety would be nice, right?

I mean then the role of the support is less defined: you could follow the jungler and support them, making some junglers more viable with someone to aid them, then you both could either duo-gank the same lane or each choose to gank a different lane. You could go aid the proverbial island of top and let the jungler focus the other lanes, or have the support stay mid and try to ream the mid tower for early zone control. You could do the role of ganking instead while the jungler does nothing but farm, ensuring that when they enter the teamfight, they are more than ready to make up for their lack of pressure on the map.

It's just a suggestion, but I'd like to see other ones.