Well, I kind of figured it'd be like this:

Usually, I'll have some bad guys show up or something. I'll ask in the OOC who's down to fight them. Then I'll collect their responses to put together. After that, I'll have to go one by one and give the players involved what I've got so far and they can give me their responses. I'll use the character names so that while they remain unknown, they'll still be collaborating with each other. I'll do that for everyone involved and then post it. I also said 'smooth it out' but I'm not planning to interfere with their parts at all, it's to blend the parts together.

If this is confusing, look at it this way: There is Player A, B and C.
So it'd be like
Stuff happens, Player A, B and C respond
I put the responses together, write more stuff happening. Send it to Players A, B and C. A, B and C respond.
Repeat
Finish, polish and post

On any night without anything special happening, I'll get the players to tell me what they'll do at that time. I'll also do that for all characters not involved if there is a situation that doesn't involve everyone.

Like that, it'll probably end up being really tedious but I did it that way so that everyone will technically have full interaction, but no one knows who's who. At least, I think it'll work. If not then I may just abandon the anonymity part of it altogether.