Business School, PE Recruiting, and Undergraduate GPA

Currently a senior (about to graduate) at a semi-target set to work in tech IB (GS,MS, Q). 

I'm currently slightly worried about my GPA and how it affects my future opportunities - forecasting it to be somewhere between 3.88 and 3.9. I'm not the top student (not even top 20%) in my grad class, and I definitely feel like I haven't been putting the effort I should. 

I am really interested in working in growth (Iconiq, IVP, Dragoneer, Greenoaks) and MF private equity (Silverlake, Thoma, Vista, TPG) down the line and wanted to see how important undergraduate GPA is. I am assuming that a 3.88 - 3.9 would fair well for anybody in a target school, but given that I don't have brand-name attached to my school, I am concerned about how that would look amongst other competitive applicants in OCR processes. Also am considering business school down the line at a top 4 school (HBS, GSB, Booth, Wharton) and am worried that my class standing will affect my BSchool opportunities down the line.  

I apologize if this seems like a silly question - haven't had much mentorship with regards to BSchool/OCR and I'd appreciate any comments or advice on how I should approach both.