Little Sister, before you get too involved, hit your local convenience store and try a “Big Mama”. Its a “sausage” thats been pickled.
You can do the same thing with the BarS bulk packs of “sausages” (spiced hot dogs). Dropping them in the brine from your pickles/pickled beets/etc. Just store in the fridge as they weren’t pressure/water bath canned.
Last batch of pickled eggs I made, thats been a while, I did a couple of extra cans of hot dogs and they weren’t bad.