Just my opinion but any CCW gun that has a safety should be carried with it engaged. If it has a safety that will stay engaged, it is good practice to always check to make sure the safety is off before you try and fire it. If you get into the habbit of assuming that it is off safety because that is the way you thought you left it last, it may actually be on safe when you need it in an emergency. My Beretta has the same safety as the Bersa and every time I pick it up to check it or shoot it, I check the safety with my thumb to make sure where it is. I am not a wrong handed person so I don't the problem that you speak of but it is something to consider.
As far as if it is safe to carry this way, yes it is. It is too bad Bersas and Berettas and every gun that has this type of safety doesn't just have a de-cock only feature ala SIG. That way it could never be engaged by accident.
As great as the Bersa is, if I were you, I would consider another gun that would work better for your problem. Snubbies, Kahrs, and Glocks have no safety or decock to get in the way. SIGs have the de-cock only. Some guns like the S&W 3913 have the ambi safety also that might be a good choice if you can pack the little extra size and weight. The S&W 3913 packs well even though it is larger and heavier than the Bersa.