You could use Base64:
string base64Guid = Convert.ToBase64String(Guid.NewGuid().ToByteArray());
That generates a string like E1HKfn68Pkms5zsZsvKONw==
. Since a GUID is always 128 bits, you can omit the ==
that you know will always be present at the end and that will give you a 22 character string. This isn’t as short as YouTube though.