Biggest Gripe about new champ select

I can't see what champions I have, as I don't remember them all.

If I want to trade with a teammate, I don't know what I can trade until I get to my turn (Which is already limited because we need to do the song/dance of what I have/what he wants)

Please let me see what champs I own. I don't want to see what my team, or enemy team is currently flipping through.