My number one suggestion would be to forgo the floor shift idea and fix the issues with the column shift. They work fine when they are tightened up and adjusted properly. Also, floor shift conversions don't really make it shift faster, they just make it easier to break stuff.
Fred


1956 3100 Pickup/Red/350/3sp OD/PS/Disc Brakes
1957 Bel Air Sport Coupe/Red/355/TH350/PS/Disc Brakes
2017 Silverado LT Single Cab SB/Black/5.3/6 Speed Trans
1947 Willys CJ2A w/F-Head engine