2016 Silverado stuck in 4wd high but I need to drive 7 hours tomorrow and every shop is closed for st pattys weekend

I was driving about ~15mph in snow and tried to switch to 4 high. Clicked it one too many clicks too far and went into 4 low. The car immediately said I have to service the 4wd on my car. I know I messed up. But there are zero shops open and I have to make a 7 hour drive over dry pavement tomorrow. How bad will the 4wd damage my car if I make the stretch fully in 4h?