What alternatives for NSAIDs are available for inflammation?

You may want to try Acetaminophen, belongs to the drug class of Miscellanious analgesics.

Acetaminophen is used to treat mild to moderate pain, moderate to severe pain in conjunction with opiates, or to reduce fever. Common conditions treated include headache, muscle aches, arthritis, backache, toothaches, sore throat, colds, flu, and fevers.

Source and more information:
https://www.drugs.com/acetaminophen.html

Miscellaneous analgesics are those analgesics that don’t fit into a particular class of analgesic because they work in a different way to relieve pain. That means they do not work like an opioid, nor do they work like an NSAID.

Source and more information:
https://www.drugs.com/drug-class/miscellaneous-analgesics.html