We don’t know what LAC you might attend, so it is hard to say. But if there is a decent music department, I would go ahead and attend, take theory, conducting, music history, history, and other classes related to your goals. If no vocal performance courses or lessons are offered, find a private teacher (and often a school will fund this if in an area they don’t provide). With voice, I have learned on this forum that there is no hurry. I would think getting a few years of private study and music classes under your belt would be helpful.
You can even major in something other than music, take some music classes, and study privately.
Perform in extracurriculars and maybe, as time goes on, off campus if that works.
You mentioned dance. Have you studied dance? Ballet is really important for any dancers. The kids I knew who are now on Broadway as actors, did dance, voice and acting- triple threat.
You will benefit, I think, from your time at the LAC and may even find you want to stay. If not, then fine, you can figure that out.
There are many viable paths…