Is this the back plate that you used? https://www.shars.com/lathe-chuck-adapter-plate-8-d1-4-finished-machined-for-zero-set-lathe-chuck. . . I did a mix and match with the 8" by using a fully machined Shars backplate so I didn't have to deal with drilling the bolt holes...worth the slight difference in price. That's actually my only "complaint" with CME is that the backing plates for the adjustable structure chucks are only semi-machined meaning very thick and no bolt holes. That gives you options, but makes it a bit messier, slower job to fit one. Here's the 6" CME chuck on eBay...it's worth checking both the CME website and their eBay store as sometimes the price will be better on one or the other.
I can see a couple of advantages to using an adjustable 8" 3 jaw chuck. One is the additional through hole diameter for working on pieces bigger than the spindle bore of the lathe. Anything up to as big as 10" or so long x 2.5" OD wouldn't need additional support. The other is that the only time I would have to change to a 4 jaw is for irregularly shaped pieces. One disadvantage is the substantial weight increase over a 6" chuck.