Apparently, the specifications regarding what will and won't fit this case are conflicting. Since Zalman doesn't list a spec for max CPU cooler height on it's website it would seem that PCPartpicker is the only site that even has an indication of what will and won't fit. Any of these will fit your case according to PCPP, but I'd take it with a grain of salt. I have seen several instances of users on this forum coming back to report that coolers which were indicated as compatible by PCPP would not in fact fit in their Z3 Plus without causing the side panel to bulge, which is due to being in contact and is not desirable. I adjusted the criteria down to 158mm, so hopefully any of these SHOULD be ok.
The best thing to do would be to...