Personally, I would say go for the training opportunity in Japan if you can. You will get the chance to live in Japan for a time, it will be much easier than trying to go it alone, and should at the end of it you decide that actually, you'd rather live in the US, I'm presuming the training will still be relevant to working for Honda or similar companies in the US.
I presume
this is the place you could go to. You should read
this page closely. It looks in terms of language skills for the college student visa, you will either need to pass JLPT N2, or to get 200+ on the Examination for Japanese University Admission for International Students (not sure what that is equivalent to but probably similar), or to spend 6 months at a language school before you start.
Which course are you planning to apply to and how much sponsorship/assistance with costs will there be? Just looking at the one of the two-year courses, just admission/tuition expenses appear to be over $25000 in total over the two years. It's not clear whether any of the courses (maybe the four-year ones?) are considered equivalent to a university degree for visa purposes.
I also suggest you ask your lecturer how many other students from your course have gone on to attend this college in Japan, and what they did after graduating - particularly those who did not have any connections with Japan prior to attending college. i.e. putting aside cases like returnees or Japanese-Americans with close family still in Japan, are there others who have taken this route and now work in Japan, and if so, in what sort of capacity.
The website says 70% of their students got jobs with Honda after graduation - but it's not clear what the breakdown would be if you split it into the results for the different courses, for local students and foreign students, and then further into foreign students who got jobs with Honda in Japan, and foreign students who got jobs with Honda back in their country of origin (or in another country).
Incidentally, Kanto is a region, not a prefecture. The actual college appears to be in Fujimino in Saitama prefecture (which is in the Kanto region) - worth knowing if you start looking into this in more detail in terms of local living costs.