I had to laugh at that type of crappy setup. We had a trip to Lowes that day, to get some other stuff, and I designed a full plumbing hookup while in the isle of Lowes. Barb was not really thrilled with this, but I was sure.
Installed a 1.5" line with P trap under the new DW (in the basement), ran the line along the wall to the corner, and cut a Wye into the dump under the sink. Then dropped a T off the hot line (in the basement), and ran 1/2" copper up to the back of the DW. (Also started to replumb the house which is one of our next projects.)
Barb was amazed I could engineer, cut-up, and solder up that copper lines that quickly (took about an hour). I used THIS hobby as where I learned how to do this. That is not totally true (I had these skills prior to building my stills), however, it did buy me some reprise from her constant nagging about me spending so much time with this hobby

H.