In reply to midgen:
..is Ledge Route something you could do in these late season conditions with just some microspikes?
Absolutely not. If there's enough hard snow on Ledge Route to require spikes of any sort then you're effectively on winter mountaineering terrain, for which decent crampons (and of course an axe) would be an awful lot more secure. I would not use microspikes on anything more than a moderately steep-ish walk, and even then with care and only selectively depending on conditions.
This opinion piece chimes with my own view: "If the terrain is serious enough to require carrying an ice axe, I will also take crampons. No exceptions."
https://www.ukhillwalking.com/articles/opinions/microspikes_-_use_with_care...
Of course in a few weeks conditions will have changed a lot. Seems unlikely you'd need full winter kit, but it wouldn't be unknown in May. Worth checking again in the lead-up to your trip.