With the University of Arizona, he was a letter winner in both 1985 and 1986.
Following his collegiate career, he played professionally, although he never made it to Major League Baseball. He was drafted by the St. Louis Cardinals in the 14th round of the 1986 amateur draft, and began his professional career with the Johnson City Cardinals that year. In 206 at-bats, he hit .282 with 6 home runs, 38 RBI and 21 stolen bases.
With the St. Petersburg Cardinals in 1987, Senne batted .261 with 10 home runs, 82 RBI and 16 stolen bases. He split the 1988 season between St. Petersburg and the Arkansas Travelers, hitting .273 with 6 home runs, 23 stolen bases and 58 RBI in 458 at-bats. In 44 at-bats with the Travelers, he hit .159.