Baptists have historically combined the two perspectives as described in this answer. While the terms "General" and "Particular" Baptists don't have as wide a currency as they once did, they speak to the strains, as I described here:
Eventually, there were two main camps of Baptists - "General" Baptists who believed in General atonement, i.e. anyone who chose (i.e. free will) to believe in Christ. In contrast, "Particular" Baptists were Calvinists, who believed in Limited Atonement. These are the Baptists who wrote the 1689 Baptist Confession of Faith, one of the closest things to a "founding Baptist creed" you'll get from a Baptist. As you would expect from a Calvinist, they believed in predestination - i.e. that God has foreknown whom he would save from before the beginning of time.
In practice, most Baptists end up emphasizing free will when it comes to making a "choice for God" or "saying a sinner's prayer," then once you are saved, emphasizing Predestination and saying that God had elected you all along. One can see this resolution by reading the 2000 Baptist Faith and Message.
Section 4. Salvation says:
Salvation involves the redemption of the whole man, and is offered freely to all who accept Jesus Christ as Lord and Saviour, who by His own blood obtained eternal redemption for the believer. In its broadest sense salvation includes regeneration, justification, sanctification, and glorification. There is no salvation apart from personal faith in Jesus Christ as Lord.
implying free will
Section 5. Grace says:
Election is the gracious purpose of God, according to which He regenerates, justifies, sanctifies, and glorifies sinners. It is consistent with the free agency of man, and comprehends all the means in connection with the end. It is the glorious display of God's sovereign goodness, and is infinitely wise, holy, and unchangeable. It excludes boasting and promotes humility. All true believers endure to the end.
Logically, Election is inconsistent with Free Will, but in practice it works.