His most significant achievement in singles was winning the 1998 Queen's Club Championships, the lowest ranked player ever to do so.

His older brother, Mark, reached a singles career-high ranking of No.152 in September 1998 and his sister, Sharon, was a top junior.

Draper had accepted an offer from Sam Stosur to play in the mixed doubles at the 2005 Australian Open which also finished on 30 January.

[2][3] On 11 February 2007, Draper won the New South Wales PGA Championship on the Von Nida Tour.

He finished the four-round event with a score of 268, 20-under-par, one stroke ahead of Andrew Bonhomme and Aaron Townsend.