Have this dry and tickly cough for 2 weeks and have tried 4 difference cough mixtures to no avail. please advise?

Allergic: You could be allergic to something in the environment hence the kind of cough , try over the countr anti allergic too.

ENT & GI evaluation?: This may be LPR? Exposure of the vocal cords to stomach acid & pepsin will result in inflammation of the vocal cords (as is also often seen with acid regurgitation). Acute laryngitis may result, but watch out for recurrent dry cough unresponsive to anti-tussives, chronic hoarseness, throat clearing, airway spasms, bronchitis, an asthma-type presentation, & even a higher risk of throat cancer.