Using wide Makerslide for the Y axis is a possibility, but it would require fussing with lots of stuff (longer extrusions for the bed, different design for the Y end plates. I believe others have screwed plastic plates to the Y axis for dust gathering and stiffening. I think others have cobbled together brackets that fastened the Y extrusion to the bed extrusion or even the table the X-Carve was sitting on. Something like that. Connecting the Y axis to the table would be the stiffest, but then the X-Carve couldn’t be moved.
here is one idea
Here’s one I might like better
I’m guessing the thickness of the Y plates in the video could be tweaked so no trimming of the waste board is required, but I’d be OK with doing that.