The only way you won’t have to provide PII is if you buy it from someone outside of the exchange ecosystem (from somebody face to face with cash or a gift card (note: Local Bitcoin has been gone for about a year now)). Exchanges have to comply with KYC (Know Your Customer) laws if they want to operate in the US, which is why they’re asking for PII.
The golden rule: “He who has the gold makes the rules.”