Definitely not ARAM
An ARAM alternative game mode...should have a draft pick to choose position
If you get top you get a random top laner from a pre chosen pool of "standard " top laners:
Same for JG:
Mid:
ADC:
Support:

It could be played on either a sigle lane like ARAM or even on a full may as am ARSR.
I think the structure of a pre determined team comp, but with the randomness of not know what champ you will get would be pretty cool.