I think the best thing to say about Sandwell is that it is inchoate, it is made of several different communities - some of which have been historic rivals and some of which are split across boroughs - which isn't quite so true of Dudley.
The classic example is Great Barr which is split across Birmingham, Sandwell and to a lesser extent Walsall. Great Barr could be the core of a seat, but combining 3 Mets. Nah.
There's also the dimension of ethnicity - Dudley is pretty white - especially the two Kingswinfords, Wordsley, Norton and, of course, Gornal. Ok, there's bits of Dudley and a few other places, but overall Sandwell has a much larger BAME population, especially in West Brom and Smethwick which probably have several majority minority wards by now. This has changed the way Sandwell hangs together from how it used to hang together in the 80's, never mind the Muslin/Sikh relationship within some of those wards.
Smethwick; Smethwick, St Paul's, Soho & Victoria
Warley: Langley, Bristnall, Old Warley
Rowley: Rowley, Blackheath
Great Barr: Newton, Great Barr, Charlemont & Grove Vale
West Brom: West Brom Central, Greets Green and Lyng, Hateley Heath.
Wednesbury: Wednesbury N & S
Tipton : Tipton Green, Princes End, Great Bridge
The Wednesbury & Tipton clusters sort of hold together, Wednesbury would probably be more comfortable with Darlo or Bilston.
The Warley and Rowley clusters also hold together reasonably well.
Friar Park - historically part of West Brom, has been associated more with Wednesbury since Sandwell was formed, feels and looks a lot more like Wednesbury
Tividale - historically part of Tipton, but also has attachments to Oldbury, Oakham up on the ridge line feels much more like part of Dudley. Contains Tividale Quays - which was a very brave regeneration of Dudley Port.
Abbey - aka Bearwood is really part of Groß Birmingham and would fit in an Edgbaston seat easily, but for a Sandwell seat is more Warley than Smevvick.
Cradley Heath and Old Hill - best with the other part of Cradley, although they will fight to the death about the differences between them, Ode Hill looks towards Halesowen more than Oldbury
Oldbury - Chemical Town - therefore strange in the metal bashing Black Country, was once part of Halesowen and therefore of Shropshire. Used to fit well with the Warley group, not so much now apart from being more middle class. The far north of the ward belongs with Tipton, the central section is really part of Tivvy, it's an odd set of ward boundaries.
Tipton, Darlo and Wednesbury - now there's a seat Nick Griffin would have loved.