This is a common problem more easily and simply (KISS principal) solved by routing the cable over your opposite shoulder, and behind or in front of your body.
Alternatively, some people tape a small hook on the cable which they hook to their waist. Often when welding pipe or fabricating at waist height it is easy to just put a loop of cable over the work, leaving some to hang down but not so much as to drag on the floor. This keeps your stinger cable off the floor and as an added bonus will make it feel lighter as there will be little cable hanging under your hand.
Some weldors find that wrapping their cable(s) around wide flange beams can reduce arc blow when welding with big electrodes and high heat.
This same technique will also make huge improvements when OA cutting.
Good luck, YMMV.