There is a plastic tool that is long and has prongs on the sides. Made for drain clogs, you simply slide it in drain and pull out. It is flexible. It’ll take you minutes, don’t poke your fingers with prongs, you can find at Home Depot or Walmart. It has different names, and it is very inexpensive, under $3.00. Just clean after use and slide it back in package, you’ll be ready for next clog!
https://dengarden.com/cleaning/How-to-clear-a-clogged-shower-drain-8-methods-to-try
are you unclogging the shower head or the drain? please be specific.