Colleges in Himachal Pradesh

You can check the previous year's category wise cutoff ranks at: https://josaa.nic.in/josaaorcrarchieve/Result/OpeningClosingRankArchieveN.aspx?Year=2017.
The cutoff for this year's round 1 counselling at: https://josaa.nic.in/webinfocms/Public/View.aspx?page=71.
There you may get an idea of your selection.
Best of Luck.

Apart from these two, I would you suggest Chitkara University is best in terms of various major parameters like great infrastructure, study curriculum, faculty enhancements, Labs that gives you the practical hands-on training, research & startups, international exposure (Tie-ups with more than 150 World's top Universities), best industry recruiters like Microsoft, Google, Amazon, IBM, Infosys, Wipro and many more to gives you the good career starts. It's consistently ranked among the top Engineering Universities of India.

Arni University does not offer BA Honors in political science.

No, you would not get NIT Because
Eligibility For admissions to NITs/ IIITs/ GFTIs, candidates should have secured at least 75% marks in class 12th exam or be in the top 20 percentile in the class 12th exam conducted by the respective board. For SC/ ST candidates, the eligibility criteria is 65% marks in class XII.

As per the latest 2018 NIRF-MHRD ranking of engineering colleges in India these institutes are ranked as:-
NIT, Durgapur- 47.
NIT, Silchar- 57.
NIT, Hamirpur- 64.
Best of luck.

It totally depends on your choice, because we can't compare two branches. If you desire for CSE, go for IIIT, or else go for NIT -Hamirpur. Choose wisely. If you are asking for infrastructures, then NIT Hamirpur is well established and IIIT is running inside NIT-Jamshedpur.

It is best for all engineering programs, as this university is committed to excellence and well known for it's reputation, modern infrastructure, vibrant academic environment, pedagogy curriculum, distinguished faculty, brilliant students, research, global interface and placement to proactive collaboration with industry.

Chitkara University is the best University for engineering programs, as per it's high-class renowned facility ranked among the top engineering colleges in India by the several education portals and magazines. It provides a wonderful opportunity and global exposure for students, as it has 150+ international tie-ups. Every year, students going for exchange programs. As per placement concern, it has an excellent record every year, it has strong collaboration with the Industry for placement of the student with prominent brands like Microsoft, Google, Amazon, IBM, Infosys, Wipro and many more.