The helix will be your best choice.
Looks like it has a 24x18" working area (approximately 610x460mm) so, you are probably going to have to make your own cut files.
Your going to have to become comfortable with a CAD program of some sort to take the "pieces" and rearrange to fit the Helix's working area.
"Cutting" verses "Etching" on lasers is a function of power/speed. I cut my foam in two passes to help minimize the cut back because the heat of the laser will melt the foam a bit and it will form a cupped area at the cut line. You are just going to have to play with those numbers until you find ones that work (or maybe someone here has experience with Epilog equipment.)
There's at least one other thread talking about laser cutters, so I don't want to hijack this one any more.