As per most people it is not viable wasting a year on something like Kota...it would be in your best interests to continue with a college(you have KCET backing you, I have nothing..) and study hard for next year. Luck will favour you next year I am sure. The bitter truth is 4 months isn't enough when you give your BITS near the end, because the trend is such that the questions become tougher. I might as well be getting 200 like you tomorrow, though if I'm lucky enough I could even score 380. I'm hoping more organic chem questions come.
See, we aren't brilliant students who by fate weren't able to qualify this year. Thus we shouldn't do something like Kota...in any case even those "brilliant" students shouldn't. But families in this country are obsessed with their childrens' success, and hence they send them to such places.
In all I would suggest that take a KCET college and continue studying for next year. In case you're not able to qualify again(God forbid), you'll still have a decent future with KCET. Kota will only be a huge waste.
Mind however that it will be extremely tough balancing college with studies. Only those who study bloody mindedly will succeed.