Thanks all.
After doing a bit more checking and taking a more careful bearing, I'm now concluding that this is probably Milstar1-F1, at 39W.
After averaging the signal for a while., It seems to be centered at about, 243.8195, and is about 57KHz wide. Definitely spread spectrum.
Here's a spectrum snapshot showing the (instantaneous) signal:
http://www.crypto.com/misc/uhf-sats/2438195.jpg