You will have to get what is commonly referred to as a No Doc loan. In other words your credit score and other records will have to work and a stated income (no documentation of income). They have tightened up the rules but, there are still lenders out there that have products such as these. They are usually for the self-employed and people that are sole propreiters of their own businesses.
Coldwell Banker Triad
As for Amanda, pay taxes like the rest of us.
I am surprized people are so nice to hear, offering advice, blah, blah blah.
A piece of advice: Get a good accountant. There are many legal and ethical ways to minimize the taxes you pay. You may find that operating legally and ethically--declaring your income and paying taxes--may not be as bad as you think. No, it's not fun to pay taxes. But it's not fun to look over your shoulder for the Feds, and to know that buying a house will remain difficult, if not impossible.
This is the downside of accepting your pay illegally. You can't eat your cake and have it too. Either you accept your pay under the table, and have no income to show for a mortgage, or you take your pay legally, and pay taxes like the rest of us.
The only other solution to your question is to save up all your ill-gotten money, and pay cash when you've collected enough to buy the house with cash. But I guarantee you, that at the closing, the IRS will have lot of questions about where you accumulated all that cash, when you've showed zero income for the last 30 years.