This is my least favourite but highest fidelity solution to not using the token bag. Write a numbered list of the participants of a fight, each with as many instances of their name as they should have initiative tokens with #1 being END TURN.
- End turn
To generate the number you're got to random.org to get it without having to come up with some magic dice yoga.
Do this, it's probably better.
Change "initiative 2" to "initiative d6", 3 to d8 and 4+ to d12.
Now gather up the dice or make everyone roll seperately. Resolve the initiatives by counting backwards from the highest. Anyone rolling a 1 doesn't act.
3-Kind of the same old same old
Or this. Roll 1 d6 for each point of initiative you have, resolve them in order from top to bottom (lots of simultaneous actions) and ignore any 1s.