Kind of frustrating to get into ARAM games and then have people dodge because they didn't get the champ they wanted.

Simply have everyone lock in and a big "?" is in their champ select box. Have either Summoner Spells randomly picked or "assigned" like they do in Bot games, or players could just pick blindly not knowing what their champ would be.

When the Loading Screen comes up, that's when you get to see what champs everyone is.

A matchmaker would fix the issues people are experiencing with dodging.

no because you wouldn't be able to set up runes or masteries based on your champion and team comp.

Don't show the other team in random pick IMO.

yeah if I dont see the enemies team comp I dont have to hear people complain about their team comp. aramsoloque or death!

This.

I'd rather have to sit through a few dodges and get to actually choose spells/runes/masteries accordingly. I have been known to take an ignite in place of something else when the other team has high sustain. I'd rather not be left guessing. In a few instances, it could also impact the starting item(s) I pick. I like to be able to be considering that while still in champ select so that I can be fully prepared to shop and gtfo as quickly as possible.

Matchmaking is the answer you are looking for.

Few problems
Runes and masteries are a big one.
People leaving once the game starts instead of just dodging in champ select is another.

I like this idea.