FWIW, I suspect that you are all referring to dishwasher soap, not Joy or Palmolive dish washing
soap... quite different things. The latter t ypes are not corrosive and won't hurt mast or paint
. However, they also won't be very effective in cleaning the track.
If you simply can't get someone up the mast, then some sort of cleaning device would be required, one that can be hauled up and down the track as suggested above. A pair of sail slides linked with a short bit of light line and with a scotchbrite pad, carefully trimmed to be a good fit iin the track, in between the slides might do the job. Repeated soaking in some sort of cleaner as you hoist and retrieve the rig will also help. Once clean, replace the scotchbrite with a bit of sponge soaked in Maclube or other dry lubricant and run that up and down a few times. Finally, spray all the sail sldes withthe lube. You will be amazed at the difference!
This all assumes that you have some sort of internal track on the mast, not the older external T shaped stainless track... not used much these days.
Good luck with the job. BTW, I'm 77 but only about 170 lbs, and I go up the mast frequently...