Hi Justin and welcome!
I see by your profile page and intro post that you are new both to the ECF forum and vaping as well; so again welcome!
I applaud your desire to get off the stinkies and wish you success. I also respect your desire to be as inoffensive to your wife as you can... always a good idea!
However...
Organics as a panacea is fraught with potential problems. I do not understand them myself so I will not try to explain them to you as I would most likely miss-state/misrepresent the facts. I will only say that the problems can be broken down into two very broad, or generic, categories.
The first is known, and unknown, health risks from vaping flavors from organic extracts. It is a known fact that organic extracts can contain large biomolecules, sugars, proteins, and lipids (particularly harmful), that are perfectly fine for eating and drinking but are NOT OK to inhale/vape.
To educate your self (and your wife?) I would first do a search here on ECF for discussions on "organic." We also have a terrific resource by way of member
@Kurt who is a Professor of Chemistry at a university in Pennsylvanian. So you could do a
search like this to find some of his thoughts on the subject. He is also very responsive to private messages ("Conversations" found in your "Inbox" tab at the top right of every page) and would probably do his best to answer any specific questions you have.
Then you might do a google search for "organic e-liquid" and "organic e-juice" and read articles that crop up from that.
The second group of problems can fall under the category of false or misleading labeling.
There is a lot of debate as to what is "organic" relative to vaping (there are no regulated standards that apply to e-liquids). That is a whole kettle of worms I won't even dip my toe into. You will need to figure out your own personal definition and then probably have to query each potential vendor individually as to whether they meet
your criteria.
If you are looking at "organic" from more of a placebo standpoint (to offer peace of mind to your wife) then you have a wider margin of wiggle room. It does not negate the potential health risks to you but it may pacify her. As you increase your understanding of what is (and isn't) in your chosen e-liquid it may help if she understands too.
The last thing I would put on your To-Do list is to start educating yourself on what is going on with the new Deeming Regulations recently placed by the FDA (lots of good threads here on ECF). Government interference is no longer just the boogeyman under the bed but now a reality. And the first effects are going to start as early as this August! And, if left unchanged, will totally change the face of vaping in another two years.
I mention this as it will have huge effect on e-liquid manufactures. So simply finding one today does not mean it will necessarily be there down the road. So when you are speaking with your potential vendors/manufacturers to see exactly what
they are calling organic; you might also ask "what (if anything) they are doing with regards to the deeming regs?".
Wow! I'm really sounding like a Negative Nancy! Sorry about that.

Vaping really does work and it is worth the effort. But it does take effort (more so now than ever).
There are a lot of good folks here who are happy to help you along your journey. Do your part and try a few simple searches
first, and if you can't find the answers, or still have questions, then ask. Remember too, that there are almost as many ways to vape as there are vapers, so it is important to find what works for
you.
I truly wish you the best of luck!