Transitioning from EdTech Product Leader to SME Operator - Seeking Advice

Product and operations leader looking to transition into SME leadership, with the goal of acquiring and operating a business in 2-3 years. Seeking guidance on company stages and roles that would best position me for this path. Looking for Jan/Feb 2025 start, London/UK based.

Background:

  • Head of Learning Product at VC-backed EdTech (seed stage, Berlin/EU)
  • Product Lead at Multiverse (Series D Unicorn, UK), launched £14.4M revenue apprenticeship program
  • Previously launched and exited 3 locations of French coding school franchise in China (full P&L, team of 30+)
  • Yale '10

Target: VP/Director level (Product/Operations/GM) in training/education sector (open to adjacent industries).

Main question: Which company profiles would best fit this transition - post-search, pre-PE investment companies, or PE portfolio companies? Open to different perspectives on making this transition successfully.

Any advice or leads appreciated!