The older Weller pistol-grip soldering irons have been mentioned as an option (Thanks, Fechter). Their claim to fame was for electronics and appliance repairmen is that it heats up and is ready to work in just a few seconds, rather than waiting for a fat tip conventional soldering iron taking a few minutes to get up to working temps.
I have a 100W soldering iron of that type, and...although it does take a while to get hot, it retains its heat due to tip-mass when using it. Skinny soldring iron tips are good for tiny electronics, but as soon as you touch the skinny tip to something with a lot of thermal-conductivity and mass (like ebike connectors), the tip cools down too much. If you make the tip fat, it works on physically large connections, but...the fatter you make it, the longer it takes to warm up. The main benefit to me was it was only $20, and works great...after you let it sit for five minutes to get as hot as possible.
Wellers innovation was to make a small hand-held soldering iron that got hot very fast, and still put out a lot of BTUs for big jobs (which was packaged in a handy size). A quick google showed the insides had a simple transformer. By my reckoning, it uses only one "fat-as-possible" pass through the core, so the output is 1/2 turn. Then 60 turns on the 120V primary means the 1/2 turn output makes one-volt. The key feature for us is that the one-volt output is already routed through two output sockets, to which we could attach probes to, making an easy RSU from a $40 ebay Weller (make sure "antique vintage weller pistol soldering iron", is in the ebay search).
The loop of copper that made up the heating probe has two distinct features to help it work. Every part of the loop is twice as fat as the tip. that way the tip gets hot before any other part of the loop. The hotter the tip gets? the more resistance it has, and it spirals into a feedback loop of more heat and more resistance. The rest of the loop gets hot, just nowhere as hot as the tip.
There is a dual-power model-8200N 100W/140W unit (1-1/2 turns with a center tap?) that seems to be fairly common. The 250W model-D550 and D650 seem to be the high-amp hot-rods...
History of Weller soldering irons
http://www.stevenjohnson.com/soldering/soldering-weller-1963.htm
Weller pistol soldering iron models
http://www.stevenjohnson.com/soldering/weller.htm
The Weller patent from 1946
https://patentimages.storage.googleapis.com/pages/US2405866-1.png
1891 patent for "Electrical soldering"
http://www.google.com.gi/patents/US449258
Pic below is the inside of the 250W model D550...the two hollow nickel-plated copper shafts that hold the ends of the copper heating loop are threaded on their ID with 5/16-24 inch (fine), this is relevant because if you want to connect two thick wires (10-ga?) into the two ends to use the Weller as an RSU, you could thread-in two bolts (or all-thread rod sections). 5/16-24 is not common when you need brass bolts (I couldn't find 5/16-24 in a copper bolt), but...it can be ordered online.
I have zip-tied the trigger down, and operated the unit with a foot-switch, and it worked fine...
