When a believer perceives a conflict between Genesis and science since God is author of both the believer must conclude that either (a) he doesnt understand either the Scriptures or the science or (b) that he must accept the Scripture on faith.
I think you have a supurfluous alternative there, specifically your (b). I believe that your alternative (a) says it all. There's an error in his understanding of science or scripture which results in an apparent conflict.
However, as you said later on, if the believer is unable to resolve the meaning of scripture and science, then he will rely on scripture -- if that is the imperative of his theology. That, alas, may put the believer who knows no science, and who may mis-interpret scripture, in the position of (pardon the expression) a "flat earther."
When the ID movement was in full flower (about 1800) it was considered imperative for Christians to be knowledgeable of science, since science studied the unedited, untranslated Book of God.
Personally, I would that all Christians on these threads would take this passage to heart regardless of their doctrine: