Is it permissible to open an anonymous account to disseminate religious knowledge for fear of showing off, or is it better to publish under one's real name due to potential benefits such as a suitor recognizing them?

If opening an account in your name, mentioning your academic qualifications, is more conducive to people benefiting, then it is preferable to publishing anonymously. You must resist showing off, be sincere in your intention, and spread knowledge. As for marriage, it is a destined provision and will come to you, God willing. Your fame for knowledge and righteousness may be a reason for righteous people to propose to you.