I agree w @donk79's assessment as an order of magnitude .
this would be the timings on an outdoor smoker , not unlike the one @ WHPS
the Yoder.
many Q'ists wrap the Butt at some point , either covering an aluminum pan ( to keep the Jus )
or carefully wrap the Butt , to keep the Jus in the wrap.
the issue w the GE-IDS is you would have to rotate the Butt several times
as the temp differential , top back to bottom front is significant.
you could do 1/2 of the time in the GE-IDS , and the other 1/2 in the Anova.
pull from the Anova @ 190 F to 195 F.
I don't have a feel for any possible difference smoking first vs smoking after 1/2 in the Anova .