I picked up this Tooletries brand razor holder from WCS. It sticks to mirrors and such without any screws, glues or other sticky stuff and comes off cleanly as well. I like it and thought I'd just pass it along.

Soft silicone.Interesting idea! Is it rubberized or hard plastic?
They don’t have anything specifically for straights but they have an organizer or two that might work. I would suggest checking their website, which I believe, is www.tooletries.comThat looks awesome. Do you know if it's available for straight razors?
I think it may be about to get hard to see myself in the mirror ...