PE vs MBB for H/S MBA

Current Sophomore preparing for the upcoming recruitment cycle and I want to get an MBA, but only would go if I got into HBS or GSB. Really interested in tech and am targeting tech focused MFPE (Silver Lake/Vista/Insight) for SA.

Strictly from an admissions standpoint, would it be easier for me to get into b-school if I went to SL/Vista/Insight or did MBB? I know that it's been getting more difficult for finance people to get into b-school, but even T2 and Big4 consulting seem to consistently put people into top MBA programs. Also will note that I am diversity.

Please no sarcastic "get the offers first" comments as I am very confident that I will be able to land one of these.