Only AX cards I have seen were pcie or m2 cards. no joy for you...
I am in similar boat since the manufacturers seldom advertise the VendorId and ProdId values. The only usb3/AC adapter I have is using the RTL8822BU (TP-Link Archer T3U Plus) . lsusb report "2357:0138" but does not create wireless interface.
My looking around seems to indicate the need to compile an out-of-tree driver for this chipset myself.
I was looking at
https://github.com/friendlyarm/rtl8822bu and https://github.com/morrownr/88x2bu
for guidance.
good luck on your search