That's - - - a problem.
I've heard that it's possible to keep sensitized paper for a day or so. In that case, it should also be possible to defer processing. On the other hand, the experience I had with cyanotype many years ago was that the sensitized paper would gradually "self process" over time, and if I didn't expose it an print on it within a few hours, it would gradually fog.
But - - given your constraints - I guess that thing to do is try it and see what happens.
By the way - some feedback on this afternoon's printing session - I coated five small sheets of paper this morning (Arches HP watercolor paper) - I was generally quite pleased with the way it printed, but I found that it was much slower than the last paper I experimented with. So be it - that's a variable.
Of course, the best print happens to be on the sheet that has the watermark - and until it dries I won't know whether it will be a "keeper". I like to mask my negatives to eliminate that dark border, and on two sheets the negative had slipped against the mask (a sheet of black plastic), leaving a very narrow black line on one edge of the image. One sheet has a distinct printing flaw - fortunately, I think I caused that by being lazy and trying to squeeze two sheets into my contact frame at one time. And then there is the one sheet that I printed with a different negative - the negative that includes the clock face in the scene - and that I inadvertantly printed backwards.
Oh well, it's a learning process.