one thing to keep in mind, part of the strategy in sog is to have a bunch of roughly uniform plants. Ideally you would have them all cloned at the same time, and harvest at around the same time. If you are set on having weekly harvests there are a lot of SOG ideas that you can apply, but it'll be slightly less of a sea because you'll have to space for varying development.
In your situation and given the requirement of weekly harvests, I would get 8-9 trays. Go with 1/2 gallon or slightly smaller pots, and ideally your trays would be able to hold 10-12 of them. So basically you fill each tray a week apart, and pick strain(s) that will flower in 8-9 weeks (longer flowering times would need more trays). Basically this will lead to harvesting a tray a week. All of this will require a perpetual grow, meaning your cloning and vegging for mothers will have to happen separate from and simultaneous with the flowering.
Again though, a real SoG will be more uniform, so if you don't mind one big harvest (with the same yield), ideally you would just fill your space with clones, grow and flower them, harvest it all, then fill with more clones. This is pretty much what you will have to do if you can't provide a separate veg and flower rooms, as you won't be able to stagger flowering.
