68 Cuda 383 vs a 360

I have already offered my opinion earlier in this thread. If the cubic inch spread was greater, say 40-50 rather than 23, then I would go for the BB every time. But 23 isn't much, & I think the individual traits of each engine need to be considered, along with & most important, the intended use. The OP wants a mild driver; that means limited rpm.
The shorter rod/stroke ratio of the 360 favours low end tq & will likely equal the 383 even though it is down 23 cubes. All in a lighter & easier to install package. The 383 Chevs seem to punch above their weight & they are a 350 with a 1/4" longer stroke. Similarly, the 408 Mopar. Another stroked engine. Both have shorter rod/stroke ratios.
My Motors Manual covers 1973-78 models. The performance 360/4 bbl had a 320 ft/lb tq rating. The highest I could find for the 383 [ actually 400 by then ] was 330 ft/lb in 1974. So the 360 was down 10 ft/lb against the 400, which has 17 more cubes that the 383 & the 400 has 40 cubes more than the 360. There is a good chance that had the 383 still been in production, the 360 might have beaten the 383 in tq, or certainly equalled it.
You need to see engine Masters 383 stroker Chevy against 383 Mopar very interesting