hi manjunath,
if u r not getting ece at nitk which wud be ur choice den u remain wid eee at bits pillani n nitk surathkal.......In dis situation i will say dat dis is a very easy situation for u as u just hav to compare d two colleges as u already said u don't hav problems in going to far-off place like pillani.......so start wid d ranking of d two colleges as u must hav found dat dis year according to india today bits pillani is ranked 7th just after iits n der placements r almost of similar level as dat of iits ,on d other hand nitk surathkal is also ranked among d top nits but if u compare d reputation of nitk wid pillani den u will find pillani far better dan nitk...so i will advise u to join bits pillani as it wud give u better job prospects n better recognisation....
If u wanna go for higher studies den also bits will be d better option as it has got higher reputation n will help u in getting gud universities after ur graduation ....i also wanna add dat if u go for higher studies den i think u will go abroad den dis reputation will play a handy role in getting u into better institutes.....nw if u wanna a high paying job,den also better option is bits as der avg. package is quite closer to iits n it is definitely better dan nit k .......so in d end i agian just wanna remind u dat bits is a very reputed institute n will help a lot in shaping ur carrier as successfull....just go for bits pillani...