If you ask enough solicitors, you will definitely find one who will happily take your money and put in a spouse application, and take more money for judicial review when that is refused.
The test (as you are here illegally) is whether there are "insummountable obstacles" to your married life continuing in your home country.
That is a tough test. Owning a house, working here, your wife being here, none of that is likely to be enough.
For example, I've had refusals in Judicial Review in cases where the spouse has very serious medical conditions as a result of a very bad brain injury, and permanent physical disability from the same car accident. it's that tough.
Even if you do succeed, it's a long, slow route to ILR if you do eventually get a spouse visa in-country. And what happens if your employer takes fright if the Home Office contacts them?
Going back to your country of origin presents no guarantees. But the chances of success and in a reasonable time frame are much higher.
I am not, and cannot, offer legal advice to particular people. I can only discuss general areas of immigration law.
People should always consider obtaining professional advice about their own particular circumstances.