Now, you really didn't say what the intended purpose is for the bullets mentioned (target, varmint, larger game, or just playing around), so it's not really that easy to answer your question, but I'll take a stab at it.
Now as far as wether or not the bullets will be accurate under the conditions you describe, you will have to find that out through experimentation. Check with manufactures and see if they recomend a max velocity or fastest twist rate. That may save you from blowing up bullets before they reach the target.
Talking about bullets blowing up, 55-58gr bullets at 3800-3900fps will likely act like grenades on impact, so if your thinking about shooting paper or varmints you're probably fine. Then again if you're thinking about using it for larger deer sized game, I think that you would be better served with a heavier bullet.
The lighter bullets will have a flatter trajectory up close, but it will lose it's velocity at a faster rate than a heavier bullet with the same profile. Which means that it will have a more arched trajetory over longer distances. Those longer distances may very well be outside the ranges you have in mind, though so don't make any decisions with out looking at how any one bullet suits your needs.