You will need an oxy-acetylene torch to heat metal hot enough to bend. You can run these torches on Propane rather than acetylene IF you buy a special tip designed for Propane/Mapp gas for cutting and heating. You can braze with Propane but you cant use steel rods and weld with them. In order to weld with an OA torch, you must use acetylene and the acetylene welding tips.
The draw back to this is the cost of buying the bottles or renting them which charges you by the month. Filling them also is a pain as some places will only fill bottles that they sell (TSC is one of those). However, if you want to heat thick metal, that is about your only choice if you dont have electricity. Some times it is better to just cut out a bent piece of metal and replace it rather than try to straighten it due to the time it takes to heat and beat and twist etc. If it is a simple bend, by all means heat and straighten,but if it is bent and twisted, forget it, just whach it off with your OA torch and fit in a new piece, weld it in with your portable welding machine. You can also weld with some heavy duty car batteries in a pinch. I believe there is a thread here on TBN that discusses that and there is also a battery welding machine that you can buy but for the $400 that it cost, I would just spend a bit more and get an engine powered generator/welding machine.
As for harming the metal, you can definitely do that if you overheat it. ON most low carbon steels that farm equipment is made from, if you dont get it hotter than cherry red you wont hurt it. Always avoid heati it to an orange color because you stand a good chance of damaging the steel if you get it that hot. There are some charts that you can find on the internet that shows the colors acheived when plain carbon steel is heated and the approximate temperatures of the metal when it is that color. For farm repair, these are as good a temperature guide as you need. It isnt necessary to buy a laser temp gauge to accurately determine to within 5 degrees what temp you have reached. You could also acetylene weld your broken pieces back together, but that takes a lot more expertise than it sounds like you have. Acetylene welding is one of the hardest things to learn, much more difficult than electric arc welding.
Hope this helps.