Best Waiver Wire Setup

I currently have our league setup this way.

FAAB Style
Continuous Waivers - All Players are always on Waivers
Waivers process every day except Tuesday Morning

It has been brought to my attention that with the current setup I have, if a QB is questionable and plays Sunday, and a team only has that one QB on their team, they will either be forced to play without a QB (since all other QB’s will be on Waivers until Monday morning) or hope they can pick up a MNF QB should one be available if their only QB ends up not playing.

My response to this is, if you choose to roster only one QB or one DEF (we don’t play with K) then that is the risk you are willing to take.

Am I wrong to think like this?

What is your preferred setup using FAAB?