This weekend? Down and across the M62 without a doubt. Bramham horse trials will mean the A1 is garbage around the A64 so any time that isn’t swallowed up by Appleby will vanish there.
(Also true for heading North to Glasgow unless you’re joining North of York.)
Going to York from Glasgow you should be ok coming off at the A59. come off at Boroughbridge instead, see below, I’d take the green hammerton road (2nd exit at the roundabout, immediate right, right at the crossroads and follow out to the A59) rather than the A168, 5 mins in it on good day, much better if the a1/a59 junction is snarled.
Edit: Ah it’s also bed race day in Knaresborough on Saturday which can sometimes mean really lousy traffic on the A1 junction for the A59 too and poor traffic heading towards Knaresborough/Harrogate on the A59.