Oh what a glorious sight to behold!
Thank you to everyone who provided suggestions; I think I used every one. I spent a few hours making a column puller, consisting of a 5/8" steel donut, a 3/8" steel bottom plate, and a 5/8" top plate. The donut provided a space for the column to slide into, should the column move at all.
I tightened the nuts as best I could, then used an impact wrench from the top end. No go. Heat, more PB, more heat, breaker bar. No go. About to give up for the night, and see the 15/16 impact socket sitting on the new top plate.
I also see my 3-pound sledge. 5 whacks on the socket, and the nut has loosened! 5 more whacks and the column dropped down until it hit the floor!
Thanks again everyone for your advice!