have you considered azure's GPT, or is that not private enough?
Edit: plus, my personal view is that local LLMs are the future. They've already caught up to GPT-3.5 (based on my testing); and they continue to evolve rapidly. Makes sense to focus our limited resources on riding that wave.
OpenAI won't go away, but neither will they remain the first choice (or only choice!) for most use-cases.