Very cute kitty!
One of my cats would also get upset going to the vet (sweaty paw prints and tons of fur shedded on the table). But most vet visits are fairly short so I would not medicate her. She yowled all the way to the vet and stayed in her cat carrier. Once the exam was over the carrier door was open so she could just hop back in.
It's hard to see our furry critters in distress but I'm not sure if medicating her in advance is a great idea. I also had to be sneaky about getting my cat into the carrier. If she saw it she knew it meant a car ride and she would find a nice place to hide!
If you can afford house calls that works. The only time I have ever done house calls was when my elderly dogs needed to be put to sleep. I always felt it was worth the extra money for them to die in their own home on their own bed. But I could never afford house calls for other things.