You realize that you just made a case for praying to saints, by the way? If indeed the prayer becomes a more efficacious mode of communication for Timothy in heaven, and if Timothy is asked to intercede for the king while on earth, then Timothy's intercession is thereby more efficacious once Timothy goes to heaven.
Scripture please?
There is none because praying to saints is not only not mentioned but is forbidden. You don't pray to dead people, even though their souls live on.