As a former gig player, I have to have great tuning stability. Over the years, I've had some pretty spendy hardtails and every damn one had tuning issues. No thanks.
Far easier to use a Floyded guitar. Problem solved. You may lose a little 'thickness' of tone but my current stable of SS guitars, sound just as fat as any HT guitar I've owned. Plus, a Floyd will brighten up the tone some as well, if that's something that's important.
I would tune right before the 1st set, and not again until the next night pre sets.
No worries.