Welcome to HealthcareMagic forum.
Recurrent dizziness, unsteadiness and headache need medical attention.
I understand you are concerned about repeat intracranial bleeding. Severe dizziness
which occurs intermittently without nausea
is more likely to a peripheral problem and not central causes (brain pathology).
Your symptoms are likely to be related to ear pathology. Perhaps some minor infection. However, I suggest you to consult your primary healthcare provider to prescribe you antivertigo medications along with antiinflammatory drugs which will take care of your condition.
Hope my answer is both informative and reassuring.
Wish you good health.