My suggestion would be to try an alias address service, like Soodonims.com

Here is the problem with that approach. Eventually, you will start getting SPAM in that Gmail account. You then have some senders in it you want to keep, and others, spammers, which you want to get rid of. So you are left with creating many Gmail accounts to keep up.

I used to use Spamgourmet, but I am having problems using their domains on many sites. As an example, I signed up with Bed Bath Beyond and they did not accept my SG email address.

What happens if I use the same made up name? Do you see my email? Do I see yours?

There is two basic type of disposable email address services. I find they can be identified usually by whether or not you need to register with your email address.