Suggestions here and elsewhere to have no infill on tall structural components that will have large flat surfaces such as large boxes and bins is hilariously bad advice. Yes, "StReNgTh aCtChUlLy cOmEs fRoM ThE WaLlS," but unless you plan to use an absurd number of perimeters and probably not even then, you absolutely need to have some infill to connect the inner and outer walls, otherwise they will be prone to warp and collapse in on each other. If your item will be as tall as you suggest, this is likely to happen before the print even finishes. Given the shape of the bottom of most Gridfinity objects, printing it entirely with no infill is impossible anyway. You can't have a floor suspended in midair of any significant dimensions without infill underneath it to build on top of.

You probably don't need much infill, probably only 5 or 10%. But it's going to have to be there.

Don't overthink it. I print these relatively giant Gridfinity drawer shells standing upright, and I use 10% gyroid infill, 2 wall perimeters, and 3 top and bottom layers. It works just fine and they're perfectly rigid enough to stack at least four units tall (the most I've bothered to hook together to far) while loaded to the gills with probably more weight than is wise worth of knives and nuts/bolts.

I tried to print one without infill precisely once, and it collapsed and failed after about 30mm worth of height had been built up. This was with PLA which is the most rigid of the commonly available printable materials; the issue would be even worse with other plastics.