My advice....

Mine is more at the side of my throat not the base... but since you're saying the base it makes me think THYROID right away ...
I do have something similar but not exact... the only thing I can recommend (and I'm not a doctor this is just what I've used) by the way do you have any other symptoms that you might not see as related???
-cold hands/feet
-hard time losing weight
-depression
-nervous
-memory loss
-brain fog
I know these are vague symptoms but they can help point to an under active thyroid

Magnesium (natural calm or tri-magnesium)
***Iodine (tri-iodine) *** this would be my main recommendation
Omega 3 (cod liver oil)
Cell salts (bioplasma, mag phos & ferrum phos)
D3
A good liquid calcium supplement (herbal healer brand)
Celtic salt (a pinch in every glass of water I drink)
Dr. Christopher parasite cleanse