I kind of had the same dilemma, although it was vet school versus RN. I like animals and I like people.
Vet tech is such a flexible job that it's hard to define. It extends from being a glorified kennel assistant to basically being a stand-in for the vet. (I've heard that in quite a few states, a four year vet tech degree allows you to do everything short of complicated surgery. More like a NP position than RN.)
Also agree that you need to shadow both options before you decide. Ask around and get an idea of job openings, salary, and benefits. As a vet tech, you'd be working for smaller independent offices and thus less likely to have good pay and benefits. But a RN degree isn't the guarantee of a job like it was a few years ago. RN pay also varies depending on the area.
On the other hand, it's my understanding that you don't need a degree to be employed as a vet tech. Many places will hire and train you. So while RN might make more money overall, you also might not be saddled with student loans if you go the vet tech route.