You are welcome to upload your stack to our server (as described at
http://www.heliconsoft.com/ftp.html) so we can analyze it.
There are two types of artifacts. First type is cause by the program which was not able to find the best area for the resulting image. We recommend to fix it with retouching brushes of Helicon Focus (Pro and X64 version). You can fix artifact by a couple of rough stokes, cloning areas from the prealigned source image. In photoshop you do not have this infomaion and have to make a lot of meticulous work.
The second type is caused by optical problem. The forground object which is out of focus, masks the background details around it. The only way to avoid this is to increase DOF.