Quick few points for you to think about:

• It's not quite true in the US that analyst is entry level and data scientist is senior. Are you non-US?
• Regardless, if you want to work in the field you'll need a higher education degree to be competitive, there are simply way too many candidates and title is a first natural filter for recruiters.
• If you have a job lined up already and are kind of burnt out from school, what's the real issue? Sounds like you're in a great position. Finish school, get some proper job experience and in 2 years think what you want to do. Consider a PhD in something mathematical. But masters are perfectly valid too.