I want to do Engineering but no major available

“ok, but not awesome engineering programs”
FWIW we Cornell people tend to think our engineering program IS awesome, actually.
USNWR rank ranging from #8 to #10 each year 2011-2015 (got tired of looking beyond that)
WSJ Job Recruiter Ranking #7 (2010)

I’ll gladly concede about the other schools though.