In reply to Singinghound:
N Yorks is lovely, has some great boulders and crags and if you can stretch across to the Dales there's amazing underground adventure too, but not quite scrambling and mountaineering country. According to UK scrambles here's the list of scrambles covering N Yorks https://www.ukscrambles.com/england-other/ Links on right hand side of that blank looking page SORRY!! not much beyond
Gordale Scar Waterfall (interesting for a look?), Coddow Slip (Danger, this is climbing shale, you were warned), Great Hangman Gut (tides! and limited belays), Great Red Gully, Selworthy Spur ("...the top of which is dangerous and constantly changing.."), Whitebeam Gully (Tidal and 7 hour day), Strans Gill Scramble in Wharfedale (sounds better)
Can you get a couple of nights stay over in the Lakes? N Wales, other?
Edit, for QMDs are you talking about Mountain Leader Summer? That is very worthwhile and best of luck, but if so... ???? please do NOT describe that to anyone as "Mountaineering" or face ridicule sarcasm and various unsupportive and unhelpful comments, far better phrase yourself more carefully there! Also beware their FAQ guidance on what does/doesn't count as a QMD with respect specifically to Dartmoor and N Yorks
Post edited at 09:36