I suspect the only° practical way to go here would be a "handheld circular-saw format" wet saw and a cutting guide. Someone probably makes a full-scale tablesaw-wetsaw, but that will be rare and thus very expensive.
What I'm thinking of when I say cutting guide are the systems where a rail clamps to the workpiece and the saw baseplate is connected to the rail so that it travels along the rail in a straight line. I did note some more typical "rip guides" that just clamp on the saw and ride the edge of the material when I did a quick search on handheld wet tile saw - those can work if you maintain consistent pressure.
°I suppose on further thinking that with an appropriate "tiny tile tablesaw" which are common and inexpensive you really just need auxiliary tables and fences (that I suspect you may have to build or adapt from other things) to manage your outsize tiles. You don't really need a bigger blade, you just can't manage the cuts with the table they give you. So you make a big table the tiny saw sits in. You can't do that with the ones that have permanently attached parts sticking up other than the blade.