The only change I've wanted in ARAM is a 'highest bidders ban list,' where the consistently high-winrate champs cycle through a 'free week' style ban rotation. While this would basically permaban some picks from ARAM at face value, internal limiters are not out of the question.
My other proposed change is double the champion roster for free week in ARAM consisting of lowest performers in every role. That way, people with 'ARAM accounts' don't get their favoured pick every time and have to learn Udyr or Mordekaiser, or get rocked. This will also guarantee a level of diversity in comps.
The problem with making ARAM anything less than 'random' is that you ruin what the game mode is about. It really isn't about balance or balanced comps. It's about improvisation, adaptation and teamwork as a whole (rather than individual carries). The randomness
I just don't want this to become a version of ARAM where everyone ends up with picks they dodge.
One reroll on an enemy isn't a bad idea. Nor is Mkyner's idea of one reroll you can spend any way. But;
A) 1 reroll is not going to save you against a busted comp. Nothing but a busted comp will. Leona, Sona, Caitlyn, Jhin and Fiddlesticks has a far higher chance of winning than a team that is even so lacking as having no ADC (and good picks otherwise).
B) Rerolling enemy champions will increase dodges. I repeat, rerolling enemy champions will increase dodging. I come from an era of 5+ minutes' load time, and god-knows-what for boot time. My patience is unaffected really, but it seems to be a huge point of contention for others.
C) You will never play popular picks again unless your allies have one. Then, your comp is probably busted and see A), but imagine you're losing again.
Given the nature of things, I'd say maybe the whole team votes on where the team's one reroll goes. Then,
But the current fluid design allows the relatively quick queue times to persist. If we start to alter it, we might kill ARAM's popularity overnight.
Like I started with, the only change I've wanted is to expand on the champ selection so there's more overall parity. I think a 'Russian Roulette' kind of ARAM where there's one reroll teamwide and it can be used on either side sounds like an RGM, but I'm also not opposed to the idea of fudging an enemy's team. It adds the kind of chaotic balance I want from ARAM, even for people with 'ARAM accounts.'
I just repeat, if you reroll on the enemy team, you will increase the chances of dodging. That implementation will cause that effect, I guarantee it.