I usually do the screen print first, but only if, as mentioned, it can stay set up just in case. The simpler the job, the less this is an issue, but not much is worse than printing two or more colors, tearing down, and then discovering a defect while putting on a number, and having to set up for that one. (hope you have enough screens to still have them around.)
On a team of twelve, you can forget about delivering short!