It certainly seems like finding a tool that fits this is becoming harder than it should.
I contacted CZ-USA asking them to ask their gunsmiths what tool they recommend and if they can either sell one or give a parts number so that I could order one somewhere. They responded that they don't have a tool for that, but told me to contact SilencerCo. According to CZ, SilencerCo makes these for CZ and they should have a tool. That answer seems strange because from my understanding, the CZ Micro comes to CZ-USA in basically a kit form. CZ-USA installs the after market parts like the faux suppressor and the HBI hand guard and then sells the completed Micro to their distributors. In order to install the faux suppressor, they must have a tool. Evidently CZ-USA customer service doesn't know where to check for this.
Multiple attempts to contact SilencerCo have failed. They have not answered multiple emails. So I guess the search continues.