Wiz, if all goes well, you may best the best of both worlds, and possibly, mistake, accident or coincidence, made a huge discovery.
If this morphed OS runs good over a few weeks, considering that the OS's are open source, you may have your own custom version to release.....that is, if you can correct a few things, such as Zorin's branding emblems being removed & replaced with that of your own........then the matter of creating an ISO image for download. Things way above my head.
I'm also not sure if you could name it anything ending in "buntu", the parent company, Canonical, Ltd. (Ubuntu Community) & would have to remove their names & trademarks also. However, the Ubuntu Software Center has been on a few Linux based OS's not bearing the "buntu" name, though it's been awhile since I've seen it, because I guess being settled in Mint.
Though I was considering having one Ubuntu 14.04 LTS, after careful thought, I decided not to. The Amazon adverts of the past played a part in my decision, the abandoning of the Ubuntu One storage for many was another. Ubuntu has a meaning & is why the name was chosen, which translates roughly to "human kindness" or "humanity". The dumping of the Ubuntu One offerings, which many used for free, shows that their actions speaks louder than their words. They still have solutions for their subscription based customers & supplement their income with that Amazon adware that's installed.
Yes, it can be disabled & probably removed (there's no EULA to Ubuntu usage), but chances are, only those who participates on forums knows, and surely there's no on site tutorials as to how to disable this.
Actually through Wubi, Ubuntu was the first Linux OS that I ran in 2009, and this was when the devs were pushing the humanity being behind the name, and I did run it as a dual boot or on external drive a few more times later.....when they were shipping CD's for free (I still have them). It had a cleaner Start Menu in those days & was the #1 Linux distro by far. The Start Menu wasn't placed in the same position, but was similar to what Linux Mint is today.
Seems like they went with Unity around the same timeframe that Windows 8 was released, so it looks like both brands were trying to outdo one another to see who could confuse it's userbase the worst. Both Unity & the Modern UI of Windows (initially to be called "Metro"), delivered just that, heaps of confusion. Well, in the end, Linux Mint was the largest benefactor over that, as they decided not to fix what wasn't broken, and usershare skyrocketed.
That's the history of that.
Now, if all goes well, and you can cleanup some branding & create your own, you'll be set for life. One thing that I don't recommend, is to send a copy of what you have to them, nor any other Linux developer. If You can get this thing running smooth, who knows what you may have.
Take advantage of opportunity, if you've indeed created something new & propel your way to a better future for yourself & family.
This is the advantage of working outside of the walls of Windows. If you had done this with one of their OS's, the content would likely be removed from this forum (because of the EULA), and MS would be screaming for it. And gunning for you with copyright infringement charges.
Or maybe even hire you as part of their developing team, because honestly, theirs is crap. I'm not dogging the OS, nor the users of it (I'll never do the latter, the founding father of Linux meant for us to have choice), but their last two releases, Windows 8 & 8.1 was garbage & if it weren't for Windows 7 & Office 2010 users, MS would be bankrupt. Since the turn of the century, or the Millennium, that's two blockbuster OS's they released, the other being XP in 2001. Office has had some good releases.
On the Linux side, at a minimum, a blockbuster Ubuntu LTS release is every 2-3 years, and other versions has their similar supported versions, of which some of those are also popular. Google OS is also a Linux variant, but the way they've done it, it has to be installed on their hardware. Plus it's not a full fledged OS, rather a browser based one. And it's a combination of the small & large folks who has built up the Linux name. I expect Linux to break 2 to 3% usershare by the end of next year, if not before, the share is still adding numbers daily.
Who knows, you just may have added another choice.