You are dreaming, but it's a good one that won't turn into a nightmare!
I recommend a 160 SP, and would cut two lube grooves. You won't need to size, but can finger the lube on, using only one groove if you don't get leading, or both grooves if you want to push the speed up a bit. Send a swaged throat slug and I'll make you a bullet that will fulfill your dreams. A bevel base will be most accurate and nicest to work with when you don't size.
If other readers have the same interest but would like to use the bullet for small game, I recommend a 140 gr FN, set up and used as above. Shot at about 1400 fps it will knock small game down instantly, yet take on far larger critters if desired, and do it with real athority. Consider what a 22 LR is capable of, and add 3.5 times the weight with 30% more energy per grain of bullet weight. --- I'm surprised that more people don't understand to potential of such loads, with wide meplat bullets. Of coarse, similar results can be had in most calibers by adjusting speed and bullet weight a bit, and the flatnoses are just as accurate as a SP out to moderate ranges.