Thanks for your reply Eric. I tried the smooth neighborhood like you suggested. While this did help the star like pattern, the output was still weird. It looks pretty much the same, but now just more circular (B), no matter how large or small the major and minor semiaxes. Also, if the I make the semiaxes too large, I don't get the detail I want (C).
And in answer to your question, the geostatistical layer looks good before exported to raster when it is symbolized in filled contours (D), but, if I sybolize it as a grid, you can pick up on the weird pattern (E).
Any other thoughts? Thanks so much for your help!