This is not an education law question. It is an immigration law question. Usually U.S. consulates will defer to the a U.S. postsecondary institution which will authorize the F visa enrollment. The student must enroll first with an institution that is registered with the USCIS. The institution will advise re the tuition and living expenses that are required for a 5 year program. 30k pounds would seem reasonable, minimally.
