Transferring high schools [current HS has limited AP or advanced courses]

So can you proceed to English 4 with a plan to take additional English through the local community college during your senior year? Similar for math - does your school offer calculus or stats? Is there no math higher than precalculus? If not, look into community college and take either calc or stats. Can you continue with foreign language? Is a third level offered? It looks like you have not taken chemistry - so definitely take that. What other social studies classes are offered?

You should try to take all core classes each year. Max out what your school offers, if the class selection is limited. After that, supplement with community college.