The OP in a comment said
Before stating that "drawer" IS the best possible term, try saying to yourself - as though in an introduction including your hobby - "I am a drawer". Then I think you'll see the problem. For one thing, simply saying that you're an "artist" is an uncomfortably pretentious declaration. Being termed "artist" is what others are to say ABOUT a person. The person doesn't usually say it of himself. And IN WHAT ART they participate? Bernstein, Picasso, Fellini, and Michael Jackson were ALL "artists".
First, it's obvious, according to dictionaries, that drawer IS the right word. I agree it sounds strange to my ears, but that doesn't make it incorrect. For some reason it doesn't seem to be in common usage. So let's start using it, & correct this oversight.
Second, there's nothing pretentious about calling yourself an artist if you are one, any more than calling yourself a musician, an athlete, a writer, or a politician is pretentious. If you feel self-conscious about calling yourself an artist, either gain some self-esteem to be comfortable about who you are & what you do, or change careers/hobbies.