How are you getting your testcomplete projects on to your remote machines for execution?
Are you using a CICD pipeline?
Are you using an SCM to securely store and pull the files to your remote execution machines?
If so, when you do a "git pull" and run the tests that have the region checkpoints in them, you should not be seeing any failures attributed to path errors since the region checkpoint is referencing the Aliases.someObject which has a corresponding png located in your Stores item within that project.
Could you also attach screenshots of the operation parameters of the region checkpoint that is failing, along with the test log (details tab) of the failed region checkpoint?