I think it was someone else here go estimated that you needed 60 cyclers in a 360 cube to get the same as-fan as Ikoria? I didn't do this math myself, so I don't know, and probably you can get away with a slightly lower density of cyclers if you have fewer payoffs. The enablers are going to need to take up a good chunk of your cube either way you do it, but it's cycling so that should hopefully already be a mechanic that you run a couple of cards with.
Quite fond of having a very large number of enablers for something there is only maybe 1-2 payoffs. The enablers are transparent in this case in that you'd always want the cyclers anyway, but a card like thundermane can come along mid-pack 2 and just spice things up alot while also not taking up that much space in the cube!
That was me!
I love cycling as a mechanic. If you want the cards that only trigger off of cards that cycle to be approximately as good as they are in Ikoria limited, you're going to need ~60 cards with cycling to get your as-fan ratio to a similar state. If you manage to do that though (which isn't hard at the peasant power level, mind you, you've already selected 32 options!), you're going to have a fun and interesting archetype for your drafters.
The easiest way to pay off an Ikoria-style cycling deck in a 360 cube, in my evaluation, is adding this:
The best cycling decks in Ikoria always seem to have between 3-4 Stingers, so just throwing 4 in the cube means your drafters can get the density of payoffs they need without needing to include a bunch of really narrow cards. Stinger is nice because it also lets any red deck run fewer lands thanks to the inherent smoothing multiple
cost cantrips entail, while still itself being usable as a decent body.
Now, I still advocate running more cycling payoff cards than just a bunch of
Drannith Stingers to have a more combined cycling/discard archetype, but stinger is the best payoff if you're trying to do an ikoria-style combo-cycling deck and I think it's the one card where breaking singleton to accommodate it is the most worthwhile. I could also see singleton breaks on
Valiant Rescuer,
Flourishing Fox, and especially
Zenith Flare, although I think any more than two copies of each of those is a little overkill.