In reply to The Grist:
If you do decide to get a new cassette then certainly get a new chain as well - the two items wear out together so using an old chain on a new cassette could cause problems, and decrease the life span. And given that cassettes and chains are the components that wear out the quickest, then it is money you will have to spend eventually.
when I did the Fred 2 years ago I managed to ride up Hardknott, but it was a very close run thing. I was on 34/32 and stayed in the lowest gear from bottom to top. If you can, change up in the middle section, so you can go back down when you approach the s-bands - realising you are already in your lowest gear when it ramps up again is soul destroying!
And that’s what did for my mate, normally the strongest one of the three of us, but had something like an 11-25. And he still kicks himself over it, even though we hardly ever mention it to him. Well not every ride anyway....