Eff that and go to urgent care! You can get an IV med if needed and anti-nausea meds to keep down something that will help. I get migraines too and I'm about to scream at people who tell me to take it easy and take Tylenol. Those people have clearly never had migraines.
I also do caffeine (I do Excedrin Migraine when not pregnant, can't take now because of aspirin so I drink coffee) and put an ice pack on my forehead at the same time as a heating pad on my neck. It sucks though and I have a 2 year old so I feel you! I get problems with my speech as well as vision problems when I have migraines too, like I'm having a stroke. They're brutal!
Don't give up until you find a doctor who will actually treat you. Tylenol for a 3 day migraine is neglectful on their part.