There are in fact many internships and apprenticeships in acting all around the country. If that is your dream then you should definitely pursue that. There are even some that will give you the opportunity to earn points towards joining Equity.
If you are wishing to broaden your horizons though there are also many internships/apprenticeships in stage management, props, carpentry, sound, electrics, wardrobe, costumes, etc. You can always check sites such as Offstage Jobs, Backstage, Art Search, Playbill, StageJobs Pro, or even just simple Google searches to find opportunities.
Best of Luck!