I use straight 91% rubbing alcohol as a deodorant under all circumstances, not just after cycling, for the reasons described above, and the cooling effect is really refreshing. It's very effective, and there is no perfumed, or any residual scent. Fortunately, I can spend my day in a hospital scrub suit, but I would still feel uncomfortable without a shower, which I do have, if I have to dress in regular (nice) clothes. I think the idea of a "shower membership" at at a health club if not too far away is the best alternative, even as a back up.