Isn't the Nemo show 40 min long? You won't make it to the Safari's until at least 4:20 I'd guess. And that takes 25 min with no waiting...
The OP said they would be leaving Nemo at 3:30p, not the show start time.
That's correct as far as what the OP said.
However, I must assume that the OP is intending to see the 3PM-start Nemo Musical.
That show won't be over until about 3:42PM, or so.
(Plus the exiting of the theater time, say, 5 to 10 minutes.)
Getting to the Safari queue would take another 12 to 15 minutes,
or about 4PMish.
Add the wait time and unpredictable ride time of Safari, and we're up to, who knows when... say, 4:45-5:15.
Then, exit Safari, make the 12-15 minute walk to the gate.
Walk to the bus, wait for the bus, ride to DAK Lodge, walk to Sanaa.
Nope.