Civil contingency planners in the UK use the term "acute trust" to refer to hospitals that have a duty to plan how they will respond to major incidents. While "trust" in this sense is too UK-specific for your context, you could perhaps adapt the term, e.g. "acute hospital" or "acute healthcare facility", to make it more usable in your text.

-> "2. Planning for an incident - the roles and responsibilities of Acute Trusts
2.1. Core responsibilities for NHS organisations are described in the NHS
Emergency Planning Guidance 2005. The roles and responsibilities
described in this section are specific to Acute Trusts.
2.2. The responsibility of each Acute Trust is to plan for its response to a
major incident which, because of the number or severity of injuries to
casualties, cannot be dealt with as part of the hospital’s normal, day-to-day activity. Whilst a major incident is likely to be an external event, such an event can be internal to the hospital and the Acute Trust can self
declare a major incident. The Acute Trust’s responsibility in planning for a major incident is to:
• fulfil the requirements as a Category 1 responder under the Civil
Contingencies Act..., ..."
http://www.dh.gov.uk/prod_consum_dh/groups/dh_digitalassets/...