Lombok, Indonesia

[Eli_6]

My 11-year-old son and I are taking a cruise from Australia to Singapore. I have excursions booked through the cruise company for all ports except in Lombok, Indonesia. First - Is it safe/a good idea for a woman and child to go off on our own in Lombok?  Someone on another page suggested that in Bali traffic can be bad and we might run the risk of missing the ship so opted to do a cruise company excursion there.  What would yall recommend doing in Lombok? Or should I just stick with one of the cruise excursions even if they aren't that good?  I heard there was an elephant sanctuary, but we are going to one of those in Bali.