We are in contact with the Product Management at ITGlue. The integration is more on their side (given that it is already possible to use the Domotz Public API to retrieve data and then import into ITGlue), but we will also see if we can do the integration in Domotz (for an initial update of custom data). It is on our priority list of developments.
In any case, it would be beneficial, if you have contacts in ITGlue (or through the Community forum) to stimulate this type of discussion.
With regard to ConnectWise Manage, this is on our roadmap to start development before the end of the year. On a similar integration, in the next few weeks we should be able to release the integration with Zendesk (soon after we will work on the ConnectWise Manage for the ticket creation and updates.