I copied and pasted your main paragraph into google. It told me

Migraine with aura: Migraine headaches can be accompanied by an "aura," which can involve sensory symptoms like numbness or tingling in the face, hands, or other body parts. This tingling might be similar to the sensation you described before vomiting. Aura symptoms typically precede or accompany the headache and are often temporary.

Vestibular migraine: This type of migraine specifically affects the vestibular system (responsible for balance) and can cause dizziness, vertigo, imbalance, nausea, and vomiting, sometimes even without a headache. Facial tingling or numbness can also be a symptom of vestibular migraine, according to NHS Lanarkshire.
Nerve irritation/inflammation: Sinus infections can cause inflammation that can affect nearby nerves, potentially leading to facial tingling or numbness. Inflammation and pressure in the sinuses can also affect the ears, which are connected to the balance centers of the body, potentially causing dizziness.

Other neurological conditions: While less likely given your history of migraines and the transient nature of your symptoms, conditions like Bell's palsy, multiple sclerosis, or even a stroke can cause facial numbness and tingling. However, the gradual onset and resolution of your symptoms, as well as the presence of vomiting, make these less probable in your situation.

Anxiety or stress: These can manifest physically in a variety of ways, including tingling sensations, nausea, and even vomiting, according to Verywell Health