I am on the east coast of the US which puts me (according to the civ timer at the bottom of my screen) at GMT - 5. gonzo and Thiazi are both in Arizona - which I believe is on mountain time which should put them at GMT - 7 (I could be wrong with Daylight Savings and all that. I'm never sure if Arizona moves their clocks around).
In essence, I believe that we in the States are actually BEHIND you in time by 7 hours or so. My work schedule is such that I do not get home unitl 6:00 p.m. Usually, it would seem that Grey and Silver could both play and post during their respective afternoons/evenings and that would mean the game would be available to me when I returned home.
Assuming that I could get my turns and post done quickly (say by 8:00), our Arizona friends would be able to download by 6:00 their time.
And when they are finished, our happy Swedes would then be able to jump in once more.
Keep in mind, however, that there WILL be times when there is a slight delay - it's unavoidable as people have families, jobs, relationships, etc. that can actually get in the way of their life of playing Civ3

In essence, an extra 24 hours won't kill anyone - though it may cause withdrawl symptoms like Grey Fox seems to be having
Last night was a good example. I saw that Silverblade was not going to post so I just figured I would check the next night. No worries. On Friday, my wife is taking me out for my birthday, so I may not play until Saturday morning. Hopefully you will all be OK with that.
This actually has gone rather quickly so far, much better than if we were all, for example, in the US and had similar time zones. Take a look at some other games being done here - at times the wait can be 3 days before someone plays and posts. I don't think this group will see that, thankfully.