I am a musician. It is not something I chose to be... I am, and so I must choose how I deal with that. My choice: I play music. It's what I do. Sometimes people pay, sometimes not. But I choose to play, and so I will. I've known many people who were musicians and play only from time to time at home, or perhaps they quit cold turkey, or became teachers and do the best they can to keep playing. Anyway, if you are a musician, you know it, and you have to deal with it.
And BTW, it's not taking non-paying gigs that is 'destroying' the market, it's musicians who are unprepared, and unprofessional. Yes, you did work hard to learn an instrument, but the world doesn't owe you a living because of it. More than likely the non-musician you are trying to get more money from has a skill they worked hard to perfect... they know what that is all about, they just don't know music, just like you may not know plumbing or code writing. And, btw, they look at you as a little crazy for thinking you can support yourself, or even part of your life, but playing weddings and bars.