I've made that run with both a pair of #14 wire & a single #6. I did remove the back of some cabinets, used the open space above the back of others, and removed drawers. Used an inspection camera to determine what was necessary &
fiberglass "push" rods to snake the wires. Not the worst rewiring job I've done, (that was rewiring a 5 story house built in the 1800's following gas lines) but not the easiest. If I remember correctly, the most difficult part was using a right angle drill to get into the covered space between the drawer stack & the bed. The water heater made it a PIA.