Paul preached the gospel to men, including unbelievers. Here is an example:
Acts 14:1-7
At Iconium Paul and Barnabas went as usual into the Jewish synagogue. There they spoke so effectively that a great number of Jews and Greeks believed. But the Jews who refused to believe stirred up the other Gentiles and poisoned their minds against the brothers. So Paul and Barnabas spent considerable time there, speaking boldly for the Lord, who confirmed the message of his grace by enabling them to perform signs and wonders. The people of the city were divided; some sided with the Jews, others with the apostles. There was a plot afoot among both Gentiles and Jews, together with their leaders, to mistreat them and stone them. But they found out about it and fled to the Lycaonian cities of Lystra and Derbe and to the surrounding country, where they continued to preach the gospel.
Paul makes his intentions very clear:
Romans 15:20-21
It has always been my ambition to preach the gospel where Christ was not known, so that I would not be building on someone else’s foundation. Rather, as it is written: “Those who were not told about him will see, and those who have not heard will understand.”
What is Paul's intention Boxer? He clearly says that he wants those who have not been told about Christ to see and understand. This is an unquestionable fact. It is is also true that he preached the truth that Christ rose from the dead. This was part of the good news he spoke to them of.
You cannot, with good conscience, preach Christ's resurrection if you know that God may not have died for some of the very men you speak to.