Is this a feasible plan to get into investment banking with an accounting background?

So far this is how I have it. From my understanding, school prestige doesn't matter nearly as much for accounting as it does for IB, and Big 4 recruiting is extremely regional. So I've concluded that my best bet for undergrad is to save money with my education while trying to go to school in New York City. That said is this a feasible plan:

For undergraduate, I'd study accounting at Baruch mainly because of its ideal location. I'm motivated so while there I'd join relevant financial clubs, do tons and tons of networking, maintain a high GPA, and try to pick up an internship at a Big 4 firm which should let me up nicely for a job once I graduate. After graduating, I'd work for four or five years and apply to business school for an MBA with finance concentration. Ideally I'd go to an M7 and land in a banking analyst position at some large investment bank like Goldman. I'm confident that I can make it happen.

Two questions.

1. Is this a good plan?
2. Should I try to have my company pay for my MBA at the cost of me staying there for a few more years? Or should I leave and study full-time.