Binance and other exchanges also have P2P marketplaces -- I believe you don't need KYC to view these. Many leave their contact details, least last I checked.
They have limitations on how much you can trade without the need of KYC. If the Op only wants to trade a few dollars worth of bitcoin this will suffice for what he is looking for, but starting on a privacy note with a decentralized exchange maybe the best option.
- Jay -
I also don't think you can make use of P2P without passing the KYC. The only thing you can do without the need for KYC is that you can send a few dollars into the exchange and trade a few coins on the spot market, but once it comes to withdrawal, I don't think you can withdraw without KYC, and even if you can, just like you said, it can't be more than a few dollars.
What I said was you can view these traders without trading on the platform -- some leave contact details (phone, email, even site or TG) and you can usually enquire outside. That's how I found my current main p2p traders. Not sure if those platforms still allow you to leave your contact details though. Usually it's surreptitiously written as a "send me a msg when you trade so I can respond immediately".
It's just one way to find traders. I'd stick to a reputable one from this forum to start.