Redneck.... been there done that. Better #'s come w/practice. You'll see gains each time you get more and more tree time. Don't sweat the R/T #'s until you get comfortable w/your launch and the 60' #..... THEN work the tree.
Don't know what your stage/launch method is, but on street tires just turn them over a couple times to clear the garbage from the tread. A long smokey burn out won't help on a street radial. Once staged(going deep will help your RT if you tend to be late, but mph will suffer)on the the 1st yellow bring the rpm's up to about 2200. On the last yellow feather the clutch out(all be it quickly)until you feel it grab and then nail it. This "should" keep tire spin down to a minimum, and get you closer to a 2.000 60'(which still ain't bad on a street radial).
If it were me, I'd try to find a pair of tires. Since you're still on the stock 10 bolt, a pair of drag radials would be your best bet for getting that 60' # down w/out grenading the rear.
Sounds like you were at my home track for those passes LOL!
Atlanta Dragway's prep leaves a little to be desired, and is also a 1200' DA(on a good day)track.
Keep practicing and post up your new best's as they happen!