If the large pellets fit, I'd try putting them in whole (the pellets get dissolved-> to create brine-> to regenerate the ion exchange resin in the dishwasher).
From the link posted above, and my understanding of the process, I'd say it should work fine (the salt should be the same, it is basically table salt without iodine).
If you have a friend that uses the larger pellets for a home softening unit, maybe they'd give you a few pellets to try it out.......
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