Personally, I find those things really revolting. Its not really a safari, but a zoo where you can pat animals that are otherwise not known in Bali.
On a work trip there recently, this trip had been pre-arranged, but I decided to do something more aligned to the Balinese culture and went batik making instead. The group that returned from the Safari were divided in their opinions. They either absolutely loved it - or absolutely hated it. There were more that hated it.
Its not too far from Ubud - there are daily buses from most tourists hubs, and not sure of the price. about 6 years ago