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.
Since OP is new to buying Bitcoin, maybe it's best is your advise to start buying for some people who are willing to sell their BTC to OP. Finding a p2p traders outside is risky considering the current situation, he might become a victim of scam as it is hard to find someone whom he can trust to trade without any middleman or 3rd party to guarantee the success of the trade.
At least if he consider starting to buy in other user here who is willing to do the trade, the only thing he needs to do is to find a reputable member who is willing to initiate the trade.