What is needed is some kind of dedicated GUI worksheet for managing an entire "shadow" extension of a Block hierarchy and the ability to offer and edit possibly redefined values for a specific system configuration or scenario.
Unfortunately, given that SysMLv2 will have a nicer built-in way of addressing deep hierarchical system configurations, tool vendor will have little impetus to improve this in tools for SysML-1.6/1.7.
In the meantime, it basically has to be done "by hand" as shown in:
A procedure is described here: This tip can also help: This improvement would also help: