Specifically, I am limited to 10k monthly income. Can I have an S Corp that retains earnings such that my 1040 income remains at 10k? Can I buy a home? Don't own one.
I don't see any problem with a Chapter 13 debtor creating a corporation post-petition. How your present income, a part of which is presently committed to the Chapter 13 plan can get given to the corporation is another matter. The creditors may very well object.
If you can finance a home purchase as a Chapter 13 debtor, I see no problem with doing so.