You can participate in the NEET MBBS/BDS counselling in the state of gujarat even if you are from any other state (non domicile candidate). While registering, register yourself as 'other state' candidate. You will then be eligible for the management seats in private medical colleges of Gujarat. Here are some private medical colleges in Gujarat:

• Smt NHL Municipal Medical College, Ahmedabad. (Tuition fees- Rs 2,66,850)
• GCS Medical College Hospital and Research Centre, Ahmedabad (3,55,500 Rs)
• Smt B K Shah Medical Institute and Research Center, Vadodara (rs 7177500)

For details, follow the link below:

https://medicine.careers360.com/colleges/list-of-private-medical-colleges-in-gujarat