Hi,
what makes you say that "most of the top-recommended bluetooth headphones seem to fail these criteria"?
All over Ear in my list are closed back, although some have little openings (supposedly for bass).
The only one where you cannot turn ANC off is the M2AEBT (and the Beats, which is far from being on top in my list).
And in this moment most are Over Ear.
And all of them can be used with cable
If you have little ears and you want strong bass with balanced sound, Over Ear, warm and smaller than the Plantronics (which btw are not warm), from what I have tried I can only suggest the ATH-WS99BT.
It is not the best isolating one, and it may leak a little bit more sound than other ones (but not so much either), and you may wish to replace the earpads (I will be able to suggest the best ones in a couple of weeks) if you have protruding and sensitive ears.
But it is the only one able to get really loud and produce (when EQed) a very strong bass without affecting other frequencies much, and being balanced. The fact that out of the box they are not bass boosted is wonderful for many things, although people who do not want to use EQ have to lok elsewhere (or use them with the Brainwavz Pads, which increase the bass dramatically).
The Fidelio are also moderately warm and with a good bass out of the box (still not so boosted as the Plantronics) but are On Ear.
Or you could try the Supertooth Freedom. I think you may like them, yes. And they are quite cheap.
Or, some people talk well of the bass of the new Denon and the new Sony.
It also depends on what you call "strong bass"