I have an axe and crampons you can borrow @bigbear but it will mean a short trip inland on your way south to collect them.
However....I would be weary of taking that sort of gear "just in case" as unless you have some experience with it you may find yourself in more trouble than without it. It's like owning a 4x4. Makes you go places you are far more likely to get stuck in. If you have a decent stiff soled pair of boots and common sense you shouldn't be disadvantaged in the high country.
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