I know it wouldn't be easy to cut that down. Sounds like a fun plan! Cwhitt, that sounds very special.
BYtheway, run of the mill sycamore is HUGE, drops lots of bark and twigs and big leaves, better to go see somewhere else. There are some ancient ones at some historic park, I saw pics once, maybe in Valley Forge? Or the witness tree at Antietem.
Vallley Forge
https://www.youtube.com/watch?...
But I'm sure you had a nice selection in mind.. resistant to the leaf fungus that's especially plagueing mine this year