Ahh, that sounds like a pain … but, I’m afraid, we probably won’t be able to offer too much assistance for this one.
The reality is two or more very similar plugins are often likely to conflict with one another due to a lack of namespacing and other issues.
Really though if this is something that crops up between Cart 66 and WooCommerce (regardless of whether WooCommerce Tickets itself is active) it’s a question that would be best posed to the authors of those plugins – as if other people have hit up against the challenge of running both side-by-side then they are most likely to know the answer – or perhaps others in those communities will 🙂