Your ACT is a little low for Ivies. But there are many great schools where your grades and test scores are typical of admitted students. Tulane is one of them. Also, don’t rule out state schools, generally. There are a lot of really top notich public universities, and your grades and ACT score put these in reach.
Be sure to mention your family duties, as they will help explain your relative lack of extracurriclars. Admission committees will often take into account a student’s obligations to family.
If net cost of attendance is a primary concern, there are schools that offer significant merit scholarships. Here is a link to a thread that aggregates many merit scholarships.
There is often a trade-off between selectivity and availability of scholarship money. You have to figure our for yourself the right mix. However, don’t assume that you can’t get what you need from financial aid. Each school has a Net Price Calculator. With a few basic facts about your family’s finances, you can get a rough idea of how affordable a school would be for you. Good luck.