Make the Play Again button reselect the role combination you had.
Even if you want to change the roles in the next match, it's still 4 clicks to select whether you're going from none/none or, say, top/jungle It's literally a net win, no downsides.
While you're at it, make it so when we queue, the last 5 or 3 or just the last selected combination in that game mode is displayed for easy selection. Or hell, just make it so the last combo is auto-selected.
So TL;DR: a) make it so when we press Play Again, our roles from that match are automatically selected. b) make it so when we enter lobby, it auto-selects our previous setup for that queue. If you do this, you can skip a) since Play Again should count as entering lobby, so b) should apply. c) give us a quick select box with like the last 3-5 selected role combinations for quick selection.