Forget Rinjani. There are landslides there, some trails are blocked and it is not safe if there are many tremors.
Sleep in Senggigi, and try to visit Gili Air to see the condition. Note: Senggigi is more safe than Gilis when another earthquake maybe happen.
You can visit Gili Kedis cs to snorkel.
You can spend your holiday at Kuta Lombok.
You can visit Pusuk Sembalun and trek several small hills around it.
You can hiking in Mount Tambora in Sumbawa Island. There are airplane from Bali or Lombok to Sumbawa Island.
There are flight from Sumbawa island to Labuhan Bajo.
You can trekking in Mount merapi and Mount Merbabu.
I hope my answer not make you more headache.