See i m also an aspirant and not a mentor, but I can really tell u an imp thing
I m also thinking to go for 3rd attempt but from type of doing research on it i found its not gud(motivation,bad luck , 2 yr gap , placements,etc etc.).
I m thinking for drop bcz i scored BITSAT:200.
Why don't u take BITS Hyderabad any branch and get branch change (its easier than drop and wiser and on ur resume it won't b 2 yr gap?
I wrote it bcz don't take 2nd drop as 1st drop , there's a lot of difference.
Regarding coaching , I wud highly suggest u to opt for Allen/Reso,kota over DELHI/Allahabad (not delhi bcz its mains and nt advanced), i can tell u this since i have lot friends in kota and myself studied in kota for full 1 month and i hav full idea regarding kota.
If u opt for self study (which i don't recommend) watch MOHIT TYAGI Sir(Resonance,jaipur) videos for maths (YOUTUBE), i can Give u guarantee u can't find a teacher like him in whole india ,do some search on him and watch his videos , u'll get what i m trying to say, and for revision watch MATHONGO (anup gupta sir) videos for mains , they r best videos fr revision and completing syllabus fast ,for physics u shud watch Physics galaxy (ashish arora sir, ALLEN,jaipur) , for chem (and some topics of phy and maths) ANY TIME PADHAI ACADEMY (VINEET KHATRI sir,vibrant,now bansal,kota).
IF U GET BITS HYDERABAD TAKE IT WITHOUT THINKING ANYTHING AND WORK HARD TO GET BRANCH CHANGE (dont take B.Pharma) ,attend all rounds of counselling till last, even take M.Sc CHEM.