AppImage was created for precisely this scenario: When you want to distribute a proprietary application without worrying about packaging it for different Linux distributions.
And for the driver issues: This is being brought up now and then, but comparing the amount of issues I've had with my AMD graphics card on Linux (essentially none) [1] with the amount of anecdotes of Windows driver issues I regularly see in certain forums, I'd say driver issues are a myth by now (to a certain extent of course, please don't bring up how you had to install a firmware package for your Broadcom wireless chipset...).
[1] I'm not saying there aren't ever any driver bugs now and then, but just a food for thought: My graphics card works perfectly out of the box, without any configuration or driver installation at all, on most recent (read: not ancient) Linux versions. On Windows I'd have to look for whatever piece of ad-laden "graphics management suite" I need and then install it as well as regularly update it.