The phrase "suffer from headache" is correct and usable in written English.
You could use it to describe the physical discomfort that someone experiences due to a headache, for example: "John has been suffering from a headache for the past two days."
Among the 25,956 partcipants, 12,830 (49.4%) were headache free in HUNT2 and HUNT3 (stable non-suffering), 6303 (24.3%) suffered from headache in both surveys (stable headache suffering), 4523 (17.4%) reported headache in HUNT2 only (past headache suffering) and 2300 participants (8.9%) had no headache in HUNT2, but reported to suffer from headache in HUNT3 (new headache suffering).
For example, very old and very young people more often refuse to take part in surveys, and persons that suffer from headache possibly more often participate in survey seemingly affecting them, than persons not suffering from headache at all.
You mentioned hiking as a tool to help to get rid of your headache… As I too suffer from headache often I found that hiking near a cost, where the air is more moist and salty makes a real difference opposed to hiking in dry, higher altitudes i.e. Colorado.
Several evidences showed anxiety and depression were more prevalent in patients suffer from headache.
Control subjects did not suffer from headache or musculoskeletal pain for more than 1 day per month.
Students, who reported headache in the last seven days, three or six months were assumed to suffer from headache.
"I still suffer from headaches and nightmares.
I heard that some people can suffer from headaches everyday.
Physically, I feel dizzy and suffer from headaches as well as shortness of breath.
Although most children in Belgium recovered quickly, parents say that some still suffer from headaches, knee pain and exhaustion.
The doctors said I might suffer from headaches, but that would be the worst thing that would happen.
