As per subject I'm looking for a 5ghz low profile PCI-E wireless card supported on Linux.
I'm using Ubuntu 16.04 with HWE. Any recommendation?
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Here is an option for you as there are really lots of options when it comes down to wireless cards. The TP-Link AC1300 WiFi PCI-Express Wireless Network Card (Archer T6E) is available through amazon for around $50.
The card has been tested with several versions of Linux and others have reported success using Linux Ubuntu.
There are several models available I just listed the 1300 but they have a 900 which is smaller and still pci-e so that might fit your case better. Not sure what your network router is setup for so I would only use what your router speed is set and not pay more for what you can't even use.