Sure, you're hair is short and doesn't clog anything up. But you're not the only one who lives there, now are you? This little device should help, and it's cheaper than Drano.
Solidworks and STL file attached. Let me know if you'd like another format.
drcameron made a longer one here: https://www.thingiverse.com/thing:2819668
Print, snake out the hair clog. Be careful you don't break it off in the drain. I was successful with PLA, but ABS may be more flexible.
Throw it away when you're done. Don't be weird.