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Bafang BBS02: Drop-bar Throttle Adapter
The Bafang BBS02 package includes a thumb-activated throttle which, like the display, should clamp onto a 22.2 mm handlebar. The one on Mary’s bike fit neatly at the end of the left handgrip:

Tour Easy grips – left installed There’s no similar location on a drop-bar bike that doesn’t get in the way, particularly on my friend Gee’s bike with narrow bars.
With a display handlebar adapter in hand, this seemed less awful than anything else I had in mind:

Bafang Throttle adapter – front view That’s the front view, so it’s on the right side in front of the handlebar. I think it’s usable with either a thumb or fingertips from a hand on the top of the bar. The handlebar lacks tape, as mounting the brake sensors poses a challenge.
The view from the rear isn’t too revealing:

Bafang Throttle adapter – rear view Not too unsightly, but definitely not a standard setup!