Hmmm... Jazz and alternative eh.
The thing about the noisless, mind you I haven't trid the N3's, but all the past Noisless p/u's have one thing in comon. They all sound compressed and the top end is 'artificial.' Almost like a piezo. The new ones are supposed to be better than ever though. The noisless are excellent if you're soloing in any rock formulated music, (country, rock, alternative, metal even if you use humbucker, anything with gain) and are quiet for recordings. Where they lack is in life. Because of thier compressed sound, they struggle with dynamic range and tone variation. I prefer alnico magnets on my p/u's and I play jazz voiced stuff alot and alternative music. Furthermore, most jazzers like vintage voiced humbuckers and these would be good for alternative rock too.
The strat is with out a doubt the most versatile guitar especially with the noisless but from the two main styles listed I would suggest looking into these two:
Vintage Hot Rod 52 Tele
http://www.fender.com/products/search.php?partno=0100232850American Standard HSS w/Maple Neck
http://www.fender.com/products/search.php?partno=0110102747All three of the guitars will play nice, stay in tune, the stock pickups are professional and they all have the maple neck. The tone from the Tele will sound nicest for Jazz, the Deluxe will have the largest selection of tones but I think the Standard will be the one that surprises in it's tone and variations.
As for trem systems, the strat trem will be solid enough for rhythm and decent for tunning issues. Plus you can wammy up and down respectively. The Tele will be fixed so tunning will stay put, but your again limited on tremolo. The floating bridges are a bit limited in their styles of play. I would only go with a floating trem if you're playing that style or lookming to do a lot of trem work in general. The problem with floaters is they constantly are in and out of tune. They're awesome for making wacky sounds and modulating delays. Great for solo ideas too. But they're restricted in rhythm styles and intonation durring play.
The guitar you picked is stil a front runner in my humble opinion, but it's worth comparing it to the standard.
One last thing pending on your budget. You'd never need a new guitar again:
http://www.mcinturffguitars.com/06-Guitars/Empress/EmpressSpec.asp