Exit opps from big tech corp strategy & relocating to EU

Background

I've been happily employed in a good strategy role at a big tech company for the last 2.5 years. The focus is on modelling, building and managing a pipeline of innovation initiatives to drive material shareholder value.

Before that, I worked for 2 years at a growth-stage startup and passed the CFA level I (didn't need to take it any further). I'm familiar with telecoms, technology, industrial and information services businesses.

US citizen based in the US. Limited foreign language skills. No MBA

Catalyst

For personal reasons, I need to relocate to Europe. I'm taking stock of my exit opportunities and I see the following:

Options

1. Base option: Continue in corp strat at tech or industrial companies in Europe.
2. VC / Growth Equity.
3. Corporate VC: e.g., move into a vertical, like logistics, finance or industrials, build up vertical expertise, and leverage it for an interesting in-house M&A role or PE role. I could see some interesting interplay longer term between these non-tech industries and my tech background that could unlock future investment roles or entrepreneurship opportunities.

Questions:

1. Is the VC option viable for an American with my background?
2. What about growth equity?
3. Would my TMT background truly differentiate me if exiting a corporate VC role, particularly in a non-tech sector like industrials or logistics? Could such investment roles later on, perhaps more senior ones in CorpDev or as an operating partner in PE, be interesting given my background in strat?
4. Other thoughts?