“What type of anesthesia is used for hospice procedures?”

There is no such thing as hospice procedure as far as I know.

This is dependent on the situation and the goals of the hospice procedure.  The medications are chosen by the physician and the dose carefully adjusted to meet the patient's need for pain control versus the amount of sedation and amnesia desired and the underlying patient condition.
Medications used include benzodiazepines, opiates, intravenous non-steroidal anti-inflammatories, steroids, antinauseants,  propofol, and dexmedetomidine.

Anything from general to regional to local anesthesia. Hospice doesn't need to dictate the type of anesthesia.