I have been experimenting with this idea. My wife likes my current mix, but I want to change it a bit. As long as you are not using straight whiskey, but actually make an AS, you won't smell like a hobo, assuming a shower was taken before the shave.
As stated above: 1) Bay Rum is made with bay leaves and rum. So the idea is not that out there. 2) Don't use the good stuff, just something that smells nice. 3) Most of the recipes that I have seen call for strong alcohols (80+ proof). Whiskey should be fine.