Last night I arranged the first game for our club's campaign.
It involved 6 players, including 2 who had never played before, all playing on a slightly larger than 4x4 board. Initiative was handled as per normal, everyone rolled a d20, highest to lowest. I just kept note of whose turn it was by writing down the order and ticking off each phase.
We added lots more treasure to the board, 3 per player so there were 18 pieces to try and snaffle up. And even after 5 turns, and game end, the most captured was 3. Only real change we made was to have the wandering monsters appear in the centre of the board rather than the edges. It was bloody and frantic but everyone enjoyed themselves and I don't feel that anyone got bored waiting their turn.