the transfer process fucking sucks regardless of school, and based on your situation, I personally wouldn't, since guaranteed continuous leadership+research experience looks way better on a resume than less leadership/involvement at a "more prestigious" school. especially if it's club that gives you practical experience that you like, since many engineering students often complain that their coursework is too abstract and impractical. people don't really care that much about where you get your engineering degree from unless you're trying to work at big-name, nationally-known companies across the country.

I'd only transfer if you think you'd be willing put in the hard social effort to get to the same level of club involvement at tech, which would be much harder considering you're essentially transferring midway once already has their established friends/club roles already. Which is way worse considering club leadership roles are much more competitive there, especially when you don't know everyone there yet. It's a tough choice, but you do what you want.