If you feel uncomfortable with your doc, then you might seek out a second opinion.

Just because you have never attempted suicide doesn't mean that you don't have bipolar. However, the meds you are taking are both mood stabilizers, Lithium being the only true mood stabilizer, and Trileptal being an anti-convulsant that has mood stabilizing properties.

Diagnosis is so hard, that even if you went to another psych, you might still walk out without the answers you are seeking, but you should be comfortable with your treatment team. It took me 4 different doctors until I found one I felt good about working with.