Sure you can. Don't publish through traditional channels, retain your own copyrights and masters. Sell vinyl out of the back of your van at gigs. Plenty of underground acts have paid rent that way.
Yes, you can. Even if you are on a traditional label. Compulsory license covers, well, covers, not the original master recording. Before you make any counter-argument, consider the Beatles, Led Zeppelin, and AC/DC, which are not featured on any of the legal stream services.
