I also understand your concerns about blockchain web wallet, but I couldn't find any other reliable/trustable web wallet which don't require KYC docs.
Blockchain.com is nether reliable nor trustworthy. They have major security flaws and major vulnerabilities in their set up, which have resulted in thousands of bitcoin being stolen from their users. Their support is useless, and they offer absolutely no help to users who have had funds or even entire addresses inexplicably disappear from their account. I would not trust them with a single satoshi.
Why are you focused on using a web wallet? Even the most basic mobile or software wallet will usually be a better choice.