How do I get rid of this tickle in my throat? Can I spray my flovent onto my throat?

Stop the snot. I would start w/ antihistamine such as loratidine or even benedryl. Consider nasal saline rinse or netty pot. Stay hydrated - if persists/worsens, see your primary care provider. It may be a sign of other issue or even a side effect from another medicine. Flovent onto throat may make it worse.