Clean Vector Redraw for Merchandise

I have a single artwork that currently exists only as a raster image. I need it completely redrawn into clean, fully-scalable vectors so it can be dropped straight onto a T-shirt press without any fuzziness or colour shifts... (Budget: $10 - $30 USD, Jobs: Adobe Illustrator, Graphic Design, Illustrator, Logo Design, Photoshop, SVG, Vector Design, Vector Tracing)