If that is a concern (I don’t see much of an issue, but everyone’s got different requirements, so no judgment here at all), then you’d probably want to setup a recursive DNS server inside your network, configure that DNS server to resolve those internal services to your intranet IP address, when it cannot resolve, it recurses to a public one (ie ISP, CloudFlare, quad 9, Google etc). Then, change your network’s DNS to that internal one, so when you’re on your network, you get internal IP address while off network you get CloudFlare tunnel routing.