Would a teleconverter give me a bigger working distance?
A teleconverter will give you increased magnification; for example, if you have a lens set for 1:1 (life-size), then mounting it on a 2X teleconverter results in 2:1 (twice life-size) magnification. The working distance that you have at 2:1 will be the same as you had with the lens on its own at 1:1. However, if you set the lens for 1:2 (half life-size), then the overall magnification with the TC added will be 1:1, and the working distance will be what you would expect from the lens on its own at 1:2. So, for the same overall magnification, you get increased working distance when you use a TC.