Physicx, (touched a nerve on the whole--which service can you stay in the cockpit longest remark)
You can stay in the cockpit in the navy for as much time as you can in any other service (I haven't left the cockpit yet and I can retire out of my current tour if I want); You just have to play your cards right if that's your goal. Plenty of people on this website with many years of flying in their naval careers.
There are quite a few exchange slots open in each service; however, if you want to be a 'tailhooker,' an AF pilot on an exchange tour to the Navy probably won't get to in this day and age--the training cost to much for a non-deployable pilot. They (AF exchange pilots) don't get to CQ in Prowler's anymore (I know the last guy with that honor, and he CQed many years ago). The AF pilots I've talked to that have done Hornet transition have done land based tours (like NSAWC in Fallon) and did not get a chance to fly at the boat. Someone else probably knows more than me about Hornet exchanges.
As for Singapore, agree with all above. Clean and crimefree...caning takes care of a lot. I haven't been there as many times as A-4's, but I had a blast everytime and always found something new to do--I here they have beer there too.
besides, the AF wears pressed flight suits with scarves