European PE to USA M7 and then what?

So i come from the middle east, Undergrad in top Hospitality School in Switzerland, worked for a couple of years in Corporate M&A in the middle east and did some internships at KPMG deal advisory and an investment bank. Currently im at a PE 1B fund in Europe that specialized in Hotels, Restaurants and Hospitality Tech. Im applying to MBA's in the USA, im planing to go to a M7 and im wondering how competitive would my profile be for post MBA positions in the USA taking into consideration i dont have an American passport. Would i have a chance at a Mega fund? or should i forget it? And what are the best firms for H1B sponsorship?

Accademics : top undergrad in Switzeland 2.8GPA Mom just died had to skip a year and support family and family business (currently board member 5million revenue). Harvard Extension school Corporate Finance Certificate Aced all classes related to the certificate. Cornell Alternative asset Managment Certificate GRE 163 V 165 Q