you may want to enter under another visa, for example get a teaching position that does not have many hours, maybe part time or something, (i don't know about the restrictions on any of that though), something where you would have the time to go out and look for an illustration job, or freelance or something, and kind of go from there.
Also, you may be able to get an assistant teaching job with art classes at a high school, that would give you time and supplies for some studio work, while getting you in touch with people that might be able to help you with finding different jobs in the art field.