There was a post, that I can no longer find that included someone asking for high intensity rear lights for fog , or poor visibility use.
http://www.myra-simon.com/bike/whiteLED.html
Try the one shown on the right, it can be set with three different styles, slow flash, fast flash, and permanently on, and off. You will need to make a strip to attach it, but when not in use keep in pocket, or tank bag. Light is visible for one mile.
The one shown in that link is a front one, but rear ones are available.
http://www.myra-simon.com/bike/whiteLED.html
Try the one shown on the right, it can be set with three different styles, slow flash, fast flash, and permanently on, and off. You will need to make a strip to attach it, but when not in use keep in pocket, or tank bag. Light is visible for one mile.
The one shown in that link is a front one, but rear ones are available.
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