Looking for lively sans-serif fonts with relatively short x-heights

I’m looking for a sans-serif font that I can pair with Bembo Book.

I’ve tried quite a few so far, and it’s pretty clear that the sans-serif needs to have a cap height to x-height ratio similar to Bembo Book (otherwise it just looks ungainly by comparison), and a vaguely calligraphic influence too, or at least some contrast between thick and thin lines (otherwise it colours the page differently, and looks quite stark.)

I can’t find any sans-serif that satisfies both those requirements. Does any exist? It can be a paid font.