Hello there!
Veterinary is not that bad actually, Veterinarians are high demanded in countries like Canada, US and many more. The career scope of veterinary science is large and is growing faster in this era of modern world. Veterinarians work in private clinics, animal hospitals and laboratories.
Since you can't afford high fees of private colleges,  I will not suggest you to go for private colleges as their fees is insanely high , rather I would suggest you to continue with veterinary , right now and prepare for next year neet side ways and clear it with flying colours and fulfil your dream of becoming a doctor by doing mbbs .while taking admission in mbbs you can simply apply for T.C in veterinary college.
thankyou