A few things stand out to me
1) CV - I'm not sure who reviewed it, but send it to me...I'll check that it's optimal
2) Networking - before applying, aim to network a bit (even if it doesn't result in a formal referral, at least try to get put in touch with HR)
3) You're right next door to Strategy&! Once inside PwC, network your way around, get to know people, build a good reputation, and in 1-2 years look to move internally via connections
4) MBA - always a good route to take to get funneled directly into the recruiting pipeline.