I think you need to persevere with the naughty step- using the whole technique properly.
Of course she won’t react well to it, and it sounds as though she knows exactly how long to strop for your patience with the strategy to run out. Yes, it’s a faff. But it’ll do your head in a lot less than this constant random misbehaviour. Set yourself a 6 week period where everyone (partner, childminders, in-laws, etc) are clear that naughty step is being implemented- once and for all. If she gets up 200 times, you put her back 200 times. It has to get more boring for her. Believe me, the ‘game’ aspect wears off after about 30 minutes! Once you crack it, it’s the most useful technique ever. You can use it out in public, anywhere. For years and years.
Frankly your DD sounds like the perfect candidate for it- energetic, extrovert and attention-seeking. It’s the calm little introverts who LIKE quiet time alone that it doesn’t sometimes work with. Or the daydreamers.
My DM watched me implement the naughty step with DD and thought it was hilarious and concerning in turns. She’s got no patience (mum) and was a big smacker, back in the day. Now she’s a huge fan, and advocates it to everyone, having seen its positive effects!
I persevered, had to reach deep inside for the strength. There were some epic standoffs- but only about 3. It got a bit grim. My DH broke, and had to be sent away. Then one day DD just sat there, wriggling with frustration. When the 3 minutes were up, she apologised and never did that thing again. Then the next bad behaviour, and the next. It just wasn’t worth her while, she must have decided. She had too much FOMO to waste time fighting me about the step, or being sent to it.
At that age they aren’t going to understand or care much about other people’s feelings, but they sure are clear about their preferences!