Losing a champ you love to play has nothing to do with it, that's just salt in the wound, the problem is the dodges no matter what you get. I'm seeing like 2 or 3 dodges for every aram game I play, its getting ridicules.
I'm fine with what you propose but also consider why people dodge in the first place.
I never dodge myself so I don't know why other people do, but, could it have anything to do with getting settled up with garbage champs from Rito's weekly free rotation perhaps? How about getting a champ you like to play on the rift but you know they suck in aram but have no way to exclude them from your champion pool? It might also keep people from having to make aram only accounts if we had some way to customize our champion pool a bit more, rather then to just keep dumping champions into it.
Too bad Riot doesn't give a shit about aram. Feels that way at least.