I wouldn't.

Only reason maybe is if the drive with the data files on is nearly full and there's enough concurrent activity that the snapshot runs the drive out of space. But in that case there are other problems that need to be fixed.

Other case, when there's some filter driver or other installed software that breaks NTFS alternate streams. In that case CheckDB will fail, so you can try and run CheckDB on an explicitly created snapshot to see if the problem is just the alternate streams and as a way to run until the offending software gets fixed or removed.