I guess if the tourny's are just a bit of fun and a beer and pretzels type thing then play balance and match ups determined by ELO status is probably not an issue.
If you want a more 'serious' competitive tourny then the scenario's need to be reasonably balanced, the games larger (so that luck plays a lesser role) and the winner determined thru more established methods, ie. tennis or world cup type methods, as I mentioned earlier. This is how any serious competition is organized.
So it depends on what the club desires. Maybe different kinds of tourny could be played seperately, one for fun, one for true competitive play. With players choosing their preference.