if you cant install an AV on those machines, how to you know that your app gets infected?
And also why singling out your app? Wouldn't the virus also infect any other app on those machines?
But as others said, you need to remove the source of the infection. If they virus is present and active on those systems, it really does make no different if it infects your app or not (unless you want to copy that app to other systems, but I would recommend never to trust any exe that comes from an infected system)