I am not a big fan of the ladder system. For the following reasons:
1) Your data point is a single round per load. A sub 20 fps extreme spread is not bad so consider you realy don't know whether shot 1 was at the bottom of its ES and shot 2 was at the top of its ES. So what looks like 5 fps could really be 25 fps.
2) Ladder's are typically done at 200 yards, if you have a 3/4 inch rifle (not bad) and two charge weights that look like they are 1/4" apart, the respective groups could generate groups centered 1.5" apart.
3) 200 yards introduces greater shooter error than 100 yards.
Try using Optimal Charge Weight Method at 100 yards and for that size case, I would go in .6 grain incrmenets. To cover all your bases load Load 1 = 57.6, 58.2, 58.8, 59.4, Load 5 = 60.0. Shoot them in a round robin order on 5 different aiming points; i.e, Shoot Load 1 thru 5, then Load 5 thru 1, then load 1 thru 5 each on its own repsective aiming point. You should find two loads with a very similar groups size and a very similar POI relative to POA. Split the difference between those two loads. See attached sample target below. On the target below, load 7 and 8 (upper right) are the optimal loads so the final load is then 46.2. In this case I used .4 increments becuase the base load is in the 40s.
I have found this method to be much more reliable and consistent than the ladder method.