Bernardo,
Looks like quite a project. I'm not a structural engineer, but my guess is there are others who know more about how long you should wait, or what indicators there are to tell you when the shell strength is high enough to make the inside supports unnecessary.
If you are going to pull those prop beams out, I'd say safety is your number one concern.
1) Best not to have anyone inside, or even close to the dome when you do that. So you might want to tie rope to a prop and pull it from outside the door (avoid doing this suddenly if possible) with no one inside.
2) Another thing you could do is tie some string or flexible wire to several reference points on the inner surface, and let them hang down to the ground. A bolt or small weight at the bottom would keep it straight down. Set them so they just barely touch the ground. As you pull a prop, if they go limp and bend, you can see that without going inside. These will tell you if anything has moved, where, and how much. Don't assume it's safe if none of them indicate motion, since its possible for something to move very suddenly with little or no warning. This method is not terribly precise, so small movements could be happening that the strings won't show.
3) In addition, you could always place another support beam close to the one you are going to pull out. If it is just slightly shorter than the original, there will still be space above it if the dome didn't move after the original support is pulled. If the dome does move, it won't go very far before it reaches this shorter support.
There might be better ways to do this. There may even be good reasons not to use the approaches I describe. Others may know more about what you need to watch and how (cracking?), but it seems these could help you avoid big trouble.
I sure hope it goes well for you.
Dx G