I don't have allergies. I have times that my head is heavy and the dizziness comes with it. I was diagnosed with Benign positional vertigo. The doctor gave me a med for it..but I don't like to take it. He also sent me to physical therapy. They taught me different head exercises to correct it.
I should also mention that there is a dull headache with it and it radiates to my neck.
I hope you find some relief.