-snip-
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.
At least create an offline backup of your "
Recovery Phrase" from 'Security' settings. (
write it on a paper and store it in a safe place)
That way, even if you (
will) encounter issues with Blockchain wallet, you can import it to another client and access your funds through it.
Last time I tested, they didn't prompted me to create a backup.