Based off what you said i would go latex.
Latex pros:
instantly cured, you can laminate right off the printer.
low/ no odor, if you are running this from home that would be a huge plus in my book.
why you would want a printer and cutter separate? Well, this is my opinion since i've owned and operated both.... the printer/cutter combos don't really do either great. That sounds harsh, but its not. They are good printers, they can do that no doubt, but cut registration can be hit or miss. Buying a machine that is dedicated to printing, it will (in theory) do exactly what you bought it for, print, and print fast/ high quality. If you buy a cutter that is strictly designed to cut, it has better options and does its job.
We went from roland eco sol, to mimaki both had on board cutters. When you are cutting you cant print so it had me tied up in production (this is just my experience in production). Since we switched to our L360 and graphtec cutter the printer never stops all day. When a print cut job is done, i cut it off the printer (already cured), laminate it and walk to the cutter right away and i can have the next print job already running while the last job is now cutting.... for me its work flow + quality. Our roland and mimaki couldn't touch the cut quality and accuracy of the dedicated graphtec cutter.