The only other adjustment, sometimes built into a "Slow/Fast" dial, is to bias the suspension spring. However, this isn't going to help in your case I'm afraid - when you are beyond the adjustable range of the pendulum, it's not a tweak back, and I don't think from the photos that your suspension is designed for this sort of thing. Trying to compensate for a fault often accelerates the development of that fault into causing worse problems.
If you are going to go for it and take it to pieces, take a load of photos first (not too close up). It's definitely worth considering dismantling the whole thing, including the parts on the front of the front plate since you will be able to bask in the glory and satisfaction of leaving nothing out!
When you have separated the plates, getting them back together involves placing the parts back into one plate, and then lining up the other plate and methodically placing each pivot into its opposite hole with care (avoiding bending them or scratching the plate as you go). I find that applying a little pressure on the plates and working down at eye level to the work surface helps make this easier. It's good you mention you're patient and practical, as the first go can be quite a significant test of character. I always find one slightly longer arbor rocking the plates will keep liberating my best efforts! But it does get easier. There are some tricks such as using elastic bands to apply light pressure, and I find that turning the train can help get the final pivots to fall into place. I appreciate it seems like there must be a trick to it, but there's nothing magical to help with this.
I know that Hermle parts are available from some suppliers here in the UK so I guess the answer may be yes (certainly much more so than long-gone companies) and fabrication is always an option if something is beyond repair.