I've got that Ground Effect Jersey, bought for a the same reasons - I wanted a summer long sleeved jersey for sun protection. Unfortunately I still find it cooler with short sleeves on - I've found the GE jersey pretty hot :-( although it's still a nice jersey. I've got some white torpedo7 arm warmer/coolers and I'll be testing them out this summer. The thing I like about the arms is that you can chop and change - start out without them on and pull them up when you know you're sunscreen is no longer doing the job. Or alternately you have the option of pulling them down if you really overheat with them on.
I'm on the east coast north of Syd and moved here from Melbs - so might be getting more humidity than you do over west. Definitely more humid than melbs was. My other gripe with sun protection is that girls shorts are all SHORT! I love my castelli bib knicks because they come almost to my knee and mean I don't have to sunscreen the whole thigh.