When playing a series of games we use the following house rule:
Starting w/ the whoever came in first each player picks a kingdom card to remove. Whoever came in last gets to pick 2. Then the last player divvies the randomizer deck up amongst the players, with each player getting an about equal portion of the randomizer deck to pick from, but the last place player getting two portions. Each person picks their randomizers and reveals them at the same time.
Note that we keep the randomizer deck sorted approximately by cost of the cards from low to high.
For example, we're playing a series of 3 player games. Al won, Bob came in second and Carl last.
Al would pick a kingdom, then Bob, then Carl picks two. Those kingdoms are set aside (if we're using the Blackmarket a couple cards from each go into the Blackmarket deck)
Carl decides he wants to pick from the expensive cards, and so takes the bottom half of the deck, Bob wants to pick from the cheap cards and takes the top quarter, leaving a quarter for Al to pick from. Once everyone has picked a card to add in (Carl picking two) they reveal them. This means each game changes a little, but some of the previous stuff is still in play.