I think your path sounds good. There are a lot of good MA programs in economics. The main difference in applying for an MA or PhD program is the perquisite level of mathematics. A PhD program would require a minimum of three semesters of calculus, linear algebra, and some econometrics/statistics. MA programs may require as little as a semester of calculus. Some MA programs have higher math requirements.
My advice is to look for masters program that roughly fit your level of math background. You should also reach out to programs directly to ask if your background would be acceptable, even if you are missing a prereq or two.
I'm happy to chat more if you want to PM me.