KIT College of Engineering, Kolhapur

Harsh, this college offers B.Tech in which you can take admission after clearing class 12th or after diploma. They don't offer any course based on class 10th.
These days we have many universities that are offering integrated/ dual Diploma-Degree on basis of class 10th. You can join integrated/ dual Diploma B.Tech course where you save your one year as well as pressure of entrance tests. After doing a diploma you get direct admission in second year of B.Tech. Most of the universities offering them also have good placements. Some of them are also offering you scholarships based on your percentage in your previous qualification.
So, I feel instead of simply doing a diploma and then again starting with the search for a college/ university for B.Tech or doing 12th and then giving entrance exams and wait for admission in some good institute.it is better to take admission in an integrated/ dual Diploma-B.Tech course.
Check the websites of some universities.
Best of Luck