Investment Banking to Consulting?

Hey guys, so banking and consulting recruiting is entirely over at my school. I'm currently deciding between a second-tier consulting firm (Deloitte/OW/LEK) versus IBD at a GS/JPM/MS bulge-bracket. This is for summer 2018 (I am a junior now). I ultimately want to enter consulting at some point and do not want to stay in banking long-term. The goal is MBB, and I will be recruiting for MBB during full-time recruiting during the next cycle. Would IBD at a top bulge-bracket like GS/JPM/MS or second-tier consulting at Deloitte/OW/LEK put me in the best position for MBB for full-time recruiting? I was thinking that while Deloitte/OW/LEK would obviously have the most transferrable skills and give me direct consulting experience for MBB, the top IBD names on my resume might be better. Appreciate any advice!