If you are looking for a similar beam, then another McGizmo offering would probably do the trick. I believe the reflector used by the SFIII is a cutdown McR-38 reflector, used in the AlephIII, and the same curve of the McR45 reflectors used in the HD45. Based on that I'd assume (because i haven't owned an AlephIII before) that the AlephIII with the appropriate drive levels and power pack would offer you a similar experience as the SFIII. by coincidence, MSax has a chrome AlephIII on sale right now, but that is with a 1x123 powerpack.
I compared my lighthound SFIII to my U2 and HD45, and the HD45 of course had the closest beam, with a very similar hotspot, both in terms of shape & brightness. the main difference (apart from the HD45's larger physical size) is that the SFIII trades off a little bit of hotspot brightness (not noticeable in practical-use terms) for a much wider spill. The spill is about the same brightness on both, but SFIII is really much wider, probably due to the cutdown reflector allowing more 'width' in the beam.
The U2 is unique in that it literally straddles the line between flood and throw. most have described it as a "ram" of light and that's what it is. for most practical (real life) purposes my U2 has as much throw on high as the HD45 and the same beam width, but a much wider hotspot and much brighter sidespill.
I eventually decided to keep the U2 & SFIII, and traded off the HD45. Beamshots on my site comparing these three lights if you are interested in any of them. I also did a small writeup on the three lights
here on F-F. It is possible to avoid most of the subjective quality issues of the U2 if you get it off a known seller on B/S/T. OpticsHQ, where I got my U2, is a great place to buy it new.