In a scene deleted from "Fight or Flight", Ensign Travis Mayweather also referenced Draylax in a similar game he played with Archer. Mayweather and Archer actually used the same locations as Tucker and Archer later.
According to Archer, in the year 2151, the farthest that humans had traveled from Earth was 90 light years. Draylax was visited by humans prior to this year. (ENT: "Two Days and Two Nights")
According to the Star Trek: Star Charts (pgs. 45, 66), Draylax was located in the Epsilon Indistar system. The Epsilon Indi system was located in or near Federation space, in the Beta Quadrant. This was a single star system. Primary was a Class K star with a magnitude of +7, which was 1/10 as bright as Sol. This system was a destination on the Earth trade routes. Draylax was an United Federation of Planets member in 2378.