Instead of adding things to the pickling brine try rinsing the peppers before eating.

Please be careful whenever you add water or anything else (like honey) to anything that's been canned or bottled. Eat it quickly, within a a couple of days max. The water (or whatever else) that you add is not sterilized and adding it to the vinegar may introduce microorganisms that would not be in that original solution (which has been heat processed to kill these bad bugs).

I would add honey - no issue with it dissolving.

Thanks! I would never have thought of that, will give it a try :)

Just read this in a Herve his book, 'adding sugar to vinegar makes it more palatable', you may try that approach to a portion of the pickles