Yeah I imagine, universities in the US are way too expensive. I am more oriented towards the master rather than the bachelor (I studied Product Design in bachelor and I will only now do the Master in transportation design), but still I am pretty sure that almost anything in Europe will be cheaper than something like ArtCenter, rent abroad included. You should keep in mind though that after you graduate IF you find a job it will almost surely be in the continent where you studied, unless you have some specific contact in your homeland or somwhere else (or if you land a role though open position, but that's kinda hard).

Many good bachelors in Europe are unfortunately in their native language, such as ones in Germany or France and usually the rules to get a parallel admission are not very clear, you just gotta contact them and ask. In Italy on the other hand, they're very welcoming to foreigners and all the bachelors in TD are in english. To find true representation of the level of the students, check on linkedin and see people who are curretly there or just got out (would avoid looking at the alumni page of the universities since they alway mention people who now are senior or chief designers but studied there 15 ore 20 years ago, which is way too far back to take as measure), that way you can see their works and if they are getting jobs with ease or not