PE/HF/VC maybe difficult options for US MBAs as the large shops require local market expertise and the boutique shops don't have the capacity to absorb international students given their own constrains. An Investment Banking Associate is the most tried and tested path and maybe making the pivot to a buyside role after a couple of years on the sellside. Best to stick to schools in NY as they will give you the option of doing a long term internship with a PE/HF fund in the 2nd year which will be a good stepping stone to build your network. The only aspect you need to ponder upon is whether you will be open to an IB Associate position post your MBA after having spent close to 8 years in the industry, as far as I have seen Banks are not open to negotiate higher designations for candidates with relevant experience.
LBS will open doors for a lot of the buyside opportunities in London (one of the biggest market for Funds) so you can maybe think about applying there although the UK economy is facing several headwinds and the job market isnt exactly buoyant. INSEAD will open doors to MENA markets and there are some good fund houses (predominantly SWF and Family Offices) located in the market, they also have a decent recruitment for VC opportunities in EMEA and SEA markets.

Hope that helps? Do reach out at info@thembaedge.com if you want to have a detailed discussion.

Cheers and all the best!

Can you please tell me about my chances for consulting as an exit option?

Consulting is a tried and tested career path for a lot of MBAs. Your IB experience will be valuable to Consulting firms since you would have a strong quant background which proves to be an asset during the problem solving, and the IB hours are well know across all industries which would showcase your ability to work hard. Additionally, both roles also have a high degree of client interaction which is another good overlap. To sum up, you will have a slight edge over other in the consulting recruitment process, just that you will need focus on the academics and build strong problem solving (read case study) skills.

Thank you very much! This is super helpful!