Ahh Phooey...
This comes up every time someone says the words solder and LMR400...
I have soldered connectors on LMR many times, no worries. Unless your going to use a 100w iron and be stupid about it you won't distort it any. You just need to heat it quick enough to solder on that center pin. If your really worried have a damp cloth nearby to quickly cool the center pin after soldering. Touch iron, heat, solder, cool... No problem..
If you had a crimper you probably would have bought a crimp on connector in the first place i'm guessing so why bother suggesting that now, use what you got. That guide posted by Luis is a good guide.. Basically for the center you just strip back enough that the center pin goes on and sits against the center dielectric, no extra length. Then remove enough outer jacket to clamp the braid into place.
I will say that i totally despise clamp on connectors, they never seem to make a good mechanical connection and always seem to feel a bit loose on the cable.