schmalts, it would be tough for anyone to give you concrete help without a lot more info.
First, is your paper tear the same every time at 6 feet? NOTE: shoot from 6' every time-not somewhere in between 6' and 10'.
Second, even a 1" tear at 6' is not definately a bad thing, even when shooting broadheads. I have several hunting bows setup right now that group exceptionally well with broadheads out to 50 yds, and every one of them tears over 1/2" at 6', but by 15 yds they bullethole just fine.
Have you checked your spring tension of your rest?
I don`t know much about nitro stingers as far as spine goes, but I assume you are aware of what you need there.
The only thing I can stress is this....not only is it not manditory to shoot a bullethole through paper at 6' to get broadheads to fly, IMO it is NOT WANTED. When I set my own bows up, if I get a bullethole at 6', I honestly tune it out, so that I get a high and away tear(up to 3/4"

before I ever even go to check on downrange grouping.
Also, if you are sure that you are now 1/4" away from centershot, I would guess you have one of three things wrong.
1.Arrow spine way off.
2.Spring tension way off.
3. Torqueing the bow till it is ready to bleed!
Let us know how the bow shoots downrange, and we need a detailed report of the hunt as soon as you return!
GOOD LUCK!<img src=icon_smile_cool.gif border=0 align=middle>
NRA,UBP,BASS Member
New Stanton,PA