Can you split the project into two paths first holding one side then the other?
I've been doing that with a small CNC machine with great success. I split the project into "left" and "right" (or "left", "right" and "center"). The material is held on the right while running a toolpath for the left then vice versa. With about 3/4 of a tool diameter overlap between the two sides the results are good to great.