I didn't respond in the commissioner's corner to your first post as I really don't use Yahoo and am much more familiar with CBS. However, since no one has responded, I will give you an opinion but you will still need to check it out in the yahoo system.
In general, there are two sets of data operating at the same time. Once you pass the lineup deadline time, your lineup will be locked until the next deadline date/time for the next week's lineup. Meanwhile, drops and adds can process in between lineup suspense dates so that the lineup you have playing in the current week shows up in the "live scoring" and the lineup you have available the next week in the "set lineup" area.
Looking at what you are proposing, an FA transaction dropping player A for Player B that is input on Tuesday of week 1 will process Saturday evening, Player A will go on waivers and Player B will be available to enter in the active lineup for week 2. Player A will be on waivers for two days (until Monday) and can be picked up the following Saturday for Week 3 lineups, in essence missing one week on a roster.
So to answer your question (1), yes I think it accomplishes what you stated you wanted, but I am not sure why you want it to work this way.
In answer to number (2), no, once the lineup is locked, you can process transactions everyday and none of those will affect the current week's lineup.
What do you mean by "minimizing time constraints?"