So it's going to be fish only with live rock? Are you going to put the live rock in the canister filter, or in the tank? Do you have additional water movement in the tank (fans/powerheads)? Have you abandoned the idea of the protein skimmer altogether? I would say that if you're going to attempt to not have a skimmer, abundant live rock and abundant water flow through that live rock is crucial.
I ran a 75 gallon on a Marineland C-360 for two years with zero Nitrate before I upgraded my system. I also had a hundred pounds of rock in the tank, and ran a skimmer. 2 Koralia powerheads worked inside the tank to move the water through the live rock. I also stocked very lightly, and performed regular water changes.
So, it can be done, but only with the presence of lots of rock, lots of flow. And the skimmer would definitely help, but if you've ruled it out, then you'll have to try and make it work without it.
What size tank is this?