Hi aspirant

Definitely you will get government college through AIQ .The cut off is not much high than what you have scored .

You can easily get these colleges:

• Indira Gandhi Medical College, Shimla
• Dr. YS Parmar Govt. Medical College, Nahan
• Dr Rajendra Prasad Government Medical College, Tanda
• Pt. Jawahar Lal Nehru Government Medical College, Chamba
• Sh. Lal Bahadur Shastri Government Medical College, Mandi

You can check their cut off here: https://medicine.careers360.com/articles/neet-cutoff-hp

All the best.