Are you familiar with Same Time Risk?
https://boardgamegeek.com/thread/366241/risk-ii-same-time-risk-session-report-lots-prettyI would like to see a modified version of this for Redemption where the players go through the phases simultaneously. There would still be some aspects of taking turns but you can't get around that without making for an insane shared battle phase. This would sort of eliminate rounds because each turn is shared with exception of battle phase. The order would be as follows:
Opening Draw (determine priority via dice roll, player with priority becomes P1, both players draw 10, alternate LS activation P1 then P2, alternate stars P2 then P1)
Turn 1
Draw Phase (skip)
Upkeep Phase (skip)
Preparation Phase (players alternate actions P1 then P2)
P1 Battle Phase
P1 Battle Resolution
Discard Phase (players alternate actions P2 then P1)
Turn 2
Draw Phase (both players draw 4, alternate LS activation P2 then P1, alternate stars P1 then P2)
Upkeep Phase (both players update counters and use any triggered special abilities, triggers alternate P2 then P1)
Preparation Phase (players alternate actions P2 then P1)
P2 Battle Phase
P2 Battle Resolution
Discard Phase (players alternate actions P1 then P2)
Turn 3
Draw Phase (both players draw 4, alternate LS activation P1 then P2, alternate stars P2 then P1)
Upkeep Phase (both players update counters and use any triggered special abilities, triggers alternate P1 then P2)
Preparation Phase (players alternate actions P2 then P1)
P1 Battle Phase
P1 Battle Resolution
Discard Phase (players alternate actions P2 then P1)
Repeat