I've seen discussions on this subject before, and up to now the conclusion has been that there ain't no such animal.
The big problem is the number of pins; USB-A plugs only use four pins, the USB mini and USB micro have five, while the USB-C connectors have 24 pins! In addition, the fact that USB-C is reversible complicates the whole situation with pins that work differently depending whether you've got it flipped one way or the other.
So it's pretty much impractical to use any kind of existing USB-C cable on a USB micro footprint, and thus far nobody has gone to the trouble of designing and building a port that will fit a USB-C port on a USB micro footprint. Part of the problem is that there are a huge number of different USB micro footprints out there, so any adapter you design will only fit a very small number of ports. My conclusion is that you're not likely to find the kind of converter you're hoping for.
I'd say the next best thing you could hope for would be to purchase a [link|https://www.aliexpress.us/item/3256805688167232.html|USB-C breakout board] and see if it can be mounted on or near the existing port. You'll have to wire from the circuit board to the breakout board, but it should be possible. Here's one example of the kind of thing I'm thinking of; you can find dozens of other ones that may work better for your particular situation.
[image|3554922]
Of course, you can always just replace the existing port and go out and pick up a [link|https://www.aliexpress.us/item/3256807318130300.html|USB-C to USB micro adapter] like this one.
[image|3554923]
I'd be curious to hear what kind of solution you come up with, so be sure to come on back and let us know how it all turns out for you.