I HAVE NOT TRIED THIS, and I don't know if it's suitable for micro-wire type soldering or not, but:
Details 110V/100W Resistance Soldering Single Electrode Set Concentrated heat reduces solder time many times overImprove solder joint qualityEliminates thermal damageCools in seconds reducing the likelihood of injuryMade in the USA
www.micromark.com
Not cheap, and less portable than a wireless handheld version certainly, but you might look into it.
Read the description of how it's used first. Then note that there are different versions of current attachments at the "other" end, among them pliers, tips and the small alligator clip version I clicked on up there.
I do have the idea (I might well be wrong of course) that resistance soldering is used for most automated PCB board soldering these days, due to its high speed and thus very centralized heating. It's just too fast heating up and then cooling down again for heat to migrate far along the circuit traces. Those etched traces have a very small cross-section, and so heat must travel by direct conduction. Get the job done very fast and not a lot of wayward heat can migrate outward, whether along circuit traces or even rail.
I also have the idea you can solder feeders to rail so fast that you won't melt plastic ties as you might with other methods. Thereby avoiding the use of clip on heatsinks or wet rags, etc.
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"Somewhere" I know an old issue of Mainline Modeler magazine published an article on building your own rig, and I recall that unit also incorporated a foot switch. I would not consider buying a rig like this without one for the sake of safety alone. IMO you would want both hands free--in my case I'm all thumbs at times.
Another DIY version can be found here:
http://girr.org/girr/tips/tips1/solderer.pdf