So now you've got three completely different suggestions in half a dozen posts. Just think how many different options you'll have once you get up to a hundred responses. It just goes to prove that if you laid all the bike experts end to end they still wouldn't reach a conclusion.
I should have said before, congratulations on your decision not to rely on public transport any more. I wish I could do that; I do manage to go weeks at a time just cycling but occasionally the weather just gets the better of me and I end up letting the train take the strain. I don't think my route to work is as tortuous as yours, by the sound of it, though. 22 miles per day is eminently doable, though, so just go for it. And let us all know how you're doing so we can cheer you on.