Map the entities and put every one of them on the policy as a named insured, including the management company and any regional entity that sets staffing or budget. An entity a plaintiff can name that is not insured is an entity funding its own defense.
Push for defense outside the limit, or buy more limit if you cannot get it. Compressed discovery on an eroding limit consumes the limit fast, and it consumes it before any settlement conversation.
Close the loop in writing on every internal staffing escalation. A documented request followed by a documented response, even a denial with an alternative, is a management record. A documented request followed by silence is the exhibit the case is built on.
Ask counsel about a venue-selection clause in your admission agreement. Pennsylvania appellate courts have upheld one in a medical professional liability matter, which makes it a live option rather than a theoretical one. Admission agreements attract their own challenges around authority to sign and unconscionability, so this is a question for counsel rather than a form to copy, and it is one of the few levers an operator holds over venue.
If your portfolio spans counties, understand which of your entities create Philadelphia contacts and what that does to the venue analysis for every building you own. Since the venue rule was repealed, that question is portfolio-wide rather than building-specific.
Retain defense counsel who try cases in this courthouse. Venue-specific experience is worth more here than firm size, and where you control counsel inside the retention that is your decision to make.