I carried a cap-n-ball Remington New Army back when that was all I had. Taught me that you can conceal just about anything if you dress around it.
I've switched to a more practical pistol, but I never felt undergunned with that big .44. Of course, I would have been in big trouble if I had to reload, but I figured the noise, smoke, and fire would take the fight out of any attacker, even if the lead failed to do so.
I used to carry a Smith 1917 pretty regularly. Don't know if you'd call that "exotic."
I really want a Mauser Broomhandle and a Luger. If/when I get them, I'll probably carry them occasionally, just for the heck of it.