I was prescribed Adderall 30mg tablets 3X's daily. Right from th...

Open your mouth and pull down your tongue -if you still have your tonsils- . Do you see any white looking things stuck on them? If so gently press the sides of your tonsils and push it out. They are called tonsil stones and can cause the sensation of a 'foreign body object' lodged in your throat that you can't cough up. Look them up.

PS: I take Adderall XR 40mg/day and this happens to me sometimes, though not as frequently when I drink plenty of water.

I've been taking Adderall XR 20mg for about 3 months now. I really like the focus it gives me, but the down side is the frequent, annoying dry cough and what feels exactly like what you describe as "tonsil stones" - the sensation of a foreign body object lodged in in my throat. I even had a CAT scan of my neck because it was very painful for a few days. Now it's better, but still there. Can I really just "push it out" as you describe? Can you provide any more details?
Are you still having this problem are does your solution fix this?

Thanks for the advice about the water. Always a good reminder.