Its been done on aram before
most of my games have ended in less than 50 mins average time is about 30
played 11 games and seen 21 different champs (kindred being only dupe played one faced one)
Dodges yeah it happens from time to time but had 3-4 in a row last night
Anivia game last night was an /ff @20 by Azir
played with unranked - Gold it happens also in aram (i have 2500 games played and some higher elo players have less than 100)
Jungle players i see almost every game either on one side or both but not always oh well get used to it
Once Again its been done on aram and if you want it on Howling Abyss go to customs you will find it
Edit
So went through my match history and only had 2 matches over 40 mins
First was the game where i played as kindred (it was also my first time playing kindred) that lasted 44 mins and it was
v 
Second game over 40 was a 46 min game as Galio vs Zed and the zed team had 1 good Zed, 1 ok and 3 garbage the 1 good one got super super fed and it was hard and we may have /ff earlier but a couple of the garbage Zed's were Bm'ing so we kept on going and made the game last longer than it probably could have.
and also now in 14 matches with the possibility of 28 champions i have seen 26
Kindred in 2 games one either side
Annie played twice now
so its not always the same champs every game at least not for me anyway