If these two alone are your only choices, then I'd use the Z 5-speed rather than the ZX. The Zx gearing is too high for the 3.7 IMO and will give you less off the line power.
Have you considered the BW T5. It would mate much better with your 3.7
I have the 3.7 LSD in my 3.1L 240, but I have an older NISMO transmission which has some strange gearing.....
Nissan Motorsports 5 speed transmission
1st – 3.592
2nd – 2.246
3rd – 1.415
4th – 1.000
5th - .864
R200 Differential
3.7 clutch pack LSD – standard aluminum cover fitted
Final drive #s
1st – 13.29
2nd – 8.31
3rd – 5.24
4th – 3.7
5th – 3.108
I'd do the BW if this transmission was not available to me.....just my .02