Applying Late to unis?! Help please

I know it's super late by now to apply for uni, but I got delayed due to personal problems etc. Main factor would be tuition, and a good(ish) rep. (I do realise this is so late, I might have to wait for the next round..). Are there any unis left that you recommend?
Looking for undergrad in mechanical engg.

Stats:Indian CBSE grade 12 graduate with physics, math and chem, waiting for results
Affordable tuition <18000 euro
Grade 10: All A+ (science, math, english, social studies and a language)
Grade 11: 94%
Grade 12: 85% " " (term one score), expecting finals exam to be near 90%
SAT1: 2040
SAT2: Math level 2; 750, Physics 730
TOEFL: 110

ECs include painting, sketching, basketball, karate.I know my tuition is range is kind of low for uk, so if there are other unis outside of it that you can think of, please suggest those too.Thanks!