Taking a Cat to the Vet

I don't care if this post makes me sound like less than a man, lol.

I hate taking our cat to the vet. She freaks out *so* bad when being put in the carrier and sometimes even goes to the bathroom she's so scared. Plus she despises me for months afterwards. She is prone to urinary tract infections so I have to take her back to get checked out before they'll put her on another dose of anti-biotics.

So the question is - I'm thinking of asking the vet for a tranquilizer. Is that cruel/wrong? Would the vet even consider it? It would make taking her in easy, but maybe I just need to bite the bullet and get her in there despite the effect it has on everyone lol.

Any cat owners that can relate?