Are the white spots hard or soft? If they are soft, I would try stirring or stick-blending the dilution to see if that helps (my belief, based on my own experiences is that it should).
But if they are hard (something I have not encountered before), it sounds like it's possible you may have some re-solidified stearic spots from the way you added the stearic (possibly things might not have been able to stay hot enough for long enough in your crockpot)?
Stearic acid has a very high melting point, which is one of the reasons why I like to dilute in canning jars- setting the jar in boiling water does a wonderful job of making sure the stearic is good and melted, and it helps to ensure the entire contents of the jar are brought to same hot temp before I stick-blend it to smoothness. If the spots are hard, you may have to re-heat the dilution to get them to a soft enough state to be able to take to being stick-blended into the mix.
The reason why I say I believe the spots should blend in if they are soft is based of how things progress when I dilute mine.... When I dilute mine, after the stearic is completely melted and the paste is soft enough, I stick-blend it to complete smoothness (which turns it white), then I re-cover the jar, place it back in the hot water (heat off) until things settle and the contents of the jar turn amber with a foamy head on top. Then I remove the jar from the water and let it sit overnight.
As it sits overnight and sometimes throughout most of the next day, the the amber soap develops tons of white spots- it looks like it has the measles, as you can see in these progress pics here:
http://www.soapmakingforum.com/showpost.php?p=569810&postcount=6 and here
http://www.soapmakingforum.com/showpost.php?p=569813&postcount=7
But all I have to do is stir, and the spots blend right in and I am left with a beautifully opaque soap.
Please let me know how the spots feel (hard or soft), and also let me know what happens if you decide to stir or stick-blend or re-heat.
IrishLass