Diploma

Yes, you can definitely get a course in New Zealand. Please follow the link to know which colleges you can apply to:
https://www.masterstudies.com/Masters-Degree/New-Zealand/
https://www.google.co.in/url?sa=t&source=web&rct=j&url=http://www.education-newzealand.org/post-graduate-studies/&ved=0ahUKEwjUv9m52K_UAhXIQY8KHT0xBKoQFgg6MAI&usg=AFQjCNEoHROVruqVIw3YO06epOfyyybgvA&sig2=1IoUZ-2RAo5JntjExMxkIw

Hello Shivam,
It's good to know that you have decided on something. Low fees colleges are normally only govt colleges. But almost in all states there is entrance exam. Have you given? What is your score in that?

There are many Colleges which has very low fee and provide lateral entry admission. I will suggest you to join HNBGU, Uttarakhand. It is a Central University and fee is 11000 per semester. You will complete your whole b tech just by paying INR 66000. It takes its own entrance exam for lateral entry.

http://www.caba.in/courses/pg-diploma-in-multimedia-animation-course/
Please click on the above click to get details about multimedia diploma course by CABA. It is a 12 months course in Post Graduation Diploma in Multimedia and Animation.
Or else you can also join MAAC institute or IACG.
Courses Offered:
BFA Animation and VFX
BFA Animation and Gaming
BFA Movie Making
Master Diploma in Multimedia Professional
Master Diploma Special Effects
Diploma in Visual Effects
Diploma in Editing(Film/T.V)
Diploma in Advanced Animation
Diploma in Graphic and Web Designing
Diploma in Color Master

Go for Bharati Vidyapeeth College of Engineering, PCCOE and other private colleges. You may not get the best on 68 score. But still these are some good colleges.

Bachelor's degree always give you more options and a flexible career as compared the diploma. Moreover, try to get into a reputed college for your degree to get a boost for your career . Because college plays a great role in your career.
So, prepare for entrance tests of various engineering colleges to get a seat in government institute.
Hope this was helpful.