I have most of the .356-8" moulds that Lee makes that are suitable for the 9mm.
The .357-155RN is a round-nose mould intended for use in the .38Super, loaded to "major" power factor.
Mine with w/w aloy casts to about 160gr. I've loaded it to about 950fps from the 9mm Para. It will probably do what you desire it to do. What that is, I'm not exactly sure of.
My much prefered bullet is the .356-120TC in the 6-cavity version. I've gotten sub 1" 6-shot groups at 25yds, and 2.25" 6-shot groups at 50yds with it from my 5" and 6" S&W PPC-9's. I run it to 1,200fps from the 5" and approx. 1,240fps from the 6"bbl's, and around 1,170fps from a 4" 5906PC.Also shoots quite well from a 9mm XD compact........
I use w/w with approx 4oz of 95/5 tin/antimony lead-free solder added to 20lbs (to improve surface finish and weight consistency as well as hardness of 17bhn). I size to .357" as well......and use either NRA 50/50 or SPG lube. Both seem to work equally well, just whatever happens to be in the lube-sizer when I run a batch of 9's......
Works for all reasonable 9mm useage.
I haven't gotten nearly as good of results from any of the TL moulds, and the .356-125-2R is the only one that even comes close, but, mine has a too-small of lube groove to match the 120TC which has a much deeper and wider lube groove.
Honorable mention goes to the .357-105SWC. It shoots extreamly well from the 5906PC, and has won many matches for me. It also shoot a very clean .356" hole in the paper as well, for easier scoring...and the lighter recoil makes for much faster recoil recovery on the rapid fire strings.....