My poor spatial skills and no engineering abilities is your gain!
I'm selling 2 Delta single bike wall mount rack with tray. $30 for the pair. Holds up to 40 lbs and tire widths up to 2.5". Solid equipment. I bought these on Amazon this spring and it didn't work out in my space and then I forgot to return them on time. I've opened 1 of them to install it and figured out my mistakes.
Here's the Amazon original link- https://www.amazon.com/dp/B000FGTTEW/ref=cm_sw_r_cp_api_fab_NDECFbBS52NHK
It's not freestanding, but I use this wall mount in my apartment and it works quite well. No handy skills required--just find a stud and screw it in.
I use this :
Simple design, works well. Hook does not scratch my wheels.
Not very unique, but it works.