For the devices you're most interested in doing these tunings on, can you place them in their own Resource Group(s)? Either a static or dynamic Resource Group works - then you can do the tuning of these parameters on the Alert Tuning tab of the Resource Group instead of the Datasource itself.
Doing the tuning this way helps with a couple things:
- You won't have to worry about deleting/modifying anything globally in your environment
- When updating your Logic Modules, while it is easy to retain these tunings when updating, not doing it on the module simplifies the upgrading by a button click or two