The Blue Jays did reach agreements with five of their top 10 selections, but terms of the deals were not disclosed.
The signees include high school pitchers Patrick Murphy (third round), Evan Smith (fourth round) and Daniel Lietz (seventh round). In addition, Toronto convinced high school catcher Danny Jansen to forgo college and sign a professional contract.
Bickford has been considered a relatively tough sign, and it's possible he will require an over-slot offer before agreeing to terms. The 17-year-old comes with a recommended slot of $2,921,400, and he just finished his senior year of high school with a 1.72 ERA while allowing 42 hits and striking out 159 in 99 1/3 innings.
The Blue Jays have $6,398,200 in their bonus pool to spend on this year's Draft class, an amount that ranks 17th in the Major Leagues.
Gregor Chisholm is a reporter for MLB.com. Read his blog, North of the Border, and follow him on Twitter @gregorMLB. This story was not subject to the approval of Major League Baseball or its clubs.