People run dry systems on the street all the time,but I'm the type that feels you should either have a dedicated pro-street/drag bike or a sport bike,not both and especially not a 600.
Maybe I'm getting older now and I agree making smaller engines run stronger than a lot of others peoples is cool and all,but there is no replacement for displacement. Most of the big hitters around Indy don't hide there intentions very well and it's fairly obvious by looking at a lot of the bikes that they are serious about going quick in a straight line.
For the price of your 2008 model ZX-6 you could have bought a 2-3 year old ZX-10(or 04-05 and put some nice go/drag parts on it) and that bike would STILL beat your ZX-6 WITH nitrous and without any fuss,power adders or the higher risk of internal engine wear/damage. Why make excuses when you get beat and exclaim "Hey,but it's quick for a 600!" In the street game that really doesn't mean crap,no one cares that it's "fast for a 600" only thing that counts is fast period.
When nitrous vehicles run well the results are really cool and when nitrous vehicles run into problems the results are really expensive! Most of the car guys I know who ran nitrous(back in the 80's-90's) in their aka "Giant Killer" :bitchslap small blocks figured out that a normally aspirated big block is still quicker/faster,easier on parts,CHEAPER to run/operate after you consider the cost of wear/tear/rebuilds/parts breakage and goes down the track with a lot less drama or fuss.
Thinking your going run make a small engine run with the big dogs and show them up is a lesson in false economy. You may be able to buy in for less money,but at the back end when it's all said and done most small block owners had MORE money,time,effort,sweat,blood and tears in their machines plus had little to show for it
The older guys that learned their lesson a long time ago or younger ones that learned it from observing others just keep on running their mild big block week after week,event after event without so much as a hi-cup.
Go the your local drags some night and ask both the small block and big block racers how often they rebuild/open up their engines and I think you find the big block racers have to do it a lot less often.
Bikes are no different and I'd take a mildly built large displacement Pro-street bike over a hyper tuned 600 any day of the week.
My advice is to try and catch a ride on a good running big block Pro-Streeter off the bottle(it will still smoke your bike even if yours was on the bottle trust me). That ride will give you a sense of just how unwise it may be to want to throw money into a small displacement bike to play on the drag strip with.