A thought in two parts, prompted by:
More frequent minor crises that escalate each time one triggers would help immensely with this.
First thought
The Resource Crises as they are now are triggered by your single highest export number, without any other qualifier.
What if they were instead triggered by your total market share for that resource?
Market share already takes into account all the various modifers that represent how much "stuff" you are selling to people at large in the sector.
And also accounts for you having both buffed outputs and multiple outputs, which would allow finer control of how fast these events progress.
Second thought
If we're using market share to run major events, we can also use them to run minor ones.
For instance a "trade dispute" or somesuch - where you have diminished income from a particular resource for a time, and if some form of deal is not made you get a fleet from the angry faction come and try to disrupt your industry like an expedition from previous versions.
There's not really any limit to how many of these can happen, but it's weighted towards factions that have not taken any form of action against you in a defined period of time, so you always get a bit of attention from everyone eventually.
Pirates and Pathers can be excluded becasue they already have thier own mechanics for hassling you, but everyone else can pull from a list of "reasons" as to why they're upset with you.
This could be a generic list that everyone can use, with added sub-lists for specific factions. So the Church can complain about "blasphemous packaging", and the Diktat can whine about "insulting GREAT LEADER" etc etc.
Every faction keeps a count of how many times it's been upset with you, and the higher the number the bigger the fleet/more fleets it sends.
It's a minor event so probably keep this to no-more than a decently large bounty level at max.
Some factions could also have a chance to go the opposite direction and try to mimic the Path with small sneaky fleets that creep about (Tri-Tach would absolutely try this...)
Technically you could still do all this by using the highest number, but (imo) it feels weird because you can have a massive output of <thing>, but because of poor accessiblity almost zero market share - so why would anyone else even care about this enough for it be a crisis at all?
Conversely you can have modest output with a hugely buffed accessibility that massively inflates your market share, so why isn't the bothered party any more bothered than adding +4 every month to a 600 long bar?
Using market share "solves" both issues.