If you're not playing to rank 1st., you don't want work with others in their rotation and you only play swuad arena for the tokens, then I'd suggest to simply avoid all players, who play to rank high, when it's their payout. Don't attack them, if you know, their payout is soon. Let them do their thing and they will let you do yours.
Your suggestion to move players between shards is silly. If a player takes 1st everyday it's because he/she earned it by developing his/her roster and spending the time and crystals to stay there. Why should a player be moved simply because others didn't develop their rosters as well?
If PvP should be PvP (your words) then simply take any player on at any time you please. You will see PvP and have your fun.