Bradley and Steele are tied with Mark Calcavecchia and Nick Price for the lead after the first round of the 12-team, three-round event.
Jerry Kelley and Steve Stricker are in second place, one stroke behind the leading teams. Rickie Fowler and Camilo Villegas are in fourth, two strokes off the lead, while Jason Dufner and Sean O'Hair are in fifth at 6-under.
Charles Howell III and Justin Leonard are tied with Chad Campbell and Chris DiMarco at 4-under. Scott McCarron and Greg Norman finished the day at 3-under and Stewart Cink and Bo Van Pelt are in 12th at 2-under.
The teams used modified alternate shot format Friday and will switch to better ball for Saturday. Sunday's final round will be scramble.
Police: Sword-wielding man demanded free tacos
Puzzle-maker slips 'Murdoch Is Evil' into Rupert Murdoch's Sunday Telegraph