Well, bad idea in my view. Get your pistol license and then carry your pistol, OC or CC is up to you. If I read the sentiment up in CT correctly, based on the CT forum, a pistol, visible on your hip, is gaining acceptance as you not being considered a threat to anyone, by citizens and LE, LE especially.
Long gun discussions are typically a violation of Forum Rule (14), since you have the ability to carry a pistol, OC or CC, in CT. But, I am not a moderator or the owner of this site, as such, my view is nothing more than a opinion.