The phrase "be heading/headed for something" means to be on a course toward a particular destination or outcome. Some synonyms for this phrase include "moving toward," "approaching," "closing in on," "nearing," and "progressing towards." Other options include "making way for," "setting a course for," "aiming towards," "moving in the direction of," and "making a beeline for." These synonyms can be used to add variety to your writing and help you to convey your message more effectively. By choosing the right synonym for "be heading/headed for something," you can convey the tone and intention that you want to express in your writing.