I think trying to come up with too many special cases is just the wrong approach. Patents are intended to be somewhat property-like, and transferability seems like a completely reasonable thing to me. In fact, it would be quite challenging to prevent transferability without impacting a lot of contracts -- they'd just set up some power of attorney scheme to make it seem like the inventor is a party to the lawsuit.
The root of the problem is more closely related to the imbalance of power in a lawsuit: one party has the ability to subject another to great cost; with little or no cost to themselves, even if they are completely wrong. That imbalance is what makes extortion possible, and this bill seems to be more directly aimed at that problem.
To force the plaintiff to take on more responsibility, perhaps they could go further and require posting a bond for the cost of the trial in case they are wrong. That would prevent them from just setting up shell companies and then saying they can't pay when they lose. The judge can be involved in setting the bond amount, which should help sort out the rest of the problems and keep the incentives reasonable.