The “blind faith” concept is actually not biblical. Pistis, the Greek word translated as “faith” actually is defined as a conviction based on the facts. “Without faith, it is impossible to please God” (Heb 11:6a) It would be impossible to please God unless our minds can accurately discern the facts.
Not only does Christianity have plenty of room for people to use their mind, but the Bible even commands us to. "Test everything. Hold on to the good." (1 Thes 5:21). Its really cool that God invites us to test Him and what He has said. There is nothing wrong with asking questions or looking for reasonable answers.
As Christians we should never be afraid to ask questions, and we should also never discourage unbelievers from asking questions. Answering the tough questions is one of the ways to "…go and make disciples of all nations…"
Apologetics is extremely important, but never the first step in leading someone to Christ. In fact, if someone does not have intellectual stumbling blocks, I don’t wish to create them. Apologetics should only be used if and when I first identify that there is an intellectual stumbling block standing between the person and their belief in, trust in, and commitment to Jesus Christ as their personal Lord and Savior. – Luke Nix (from Why Apologetics?)