Armstrong seen that the planned landing site was unfit for doing do and dangerously close to a large crater. He announced that he was going to land long as to say he was going to overshoot the expected LZ...
No, Armstrong announced long before West Crater that they would land long:
To Aldrin:
102:36:11 Armstrong (on-board): Okay, we went by the three-minute point early. We're (going to land) long.
Then to Houston:
102:36:18 Armstrong: (To Houston) Our position checks down range show us to be a little long.
Following this in the ALSJ:
[Armstrong, from the 1969 Technical Debrief - "Our downrange position appeared to be good at the minus 3 and minus 1 minutes points (prior to ignition). I did not accurately catch the ignition point because I was watching the engine performance. But it appeared to be reasonable, certainly in the right ballpark. Our crossrange (north/south) position was difficult to tell accurately because of the skewed yaw attitude that we were obliged to maintain for comm. However, the downrange position marks after ignition indicated that we were long. Each one that was made indicated that we were 2 or 3 seconds long in range. (That is, they were reaching landmarks 2 or 3 seconds early. One second corresponds to about a mile of miss distance.) The fact that throttle down essentially came on time, rather than being delayed, indicated that the computer was a little bit confused at what our downrange position was. Had it known where it was, it would have throttled down later (to kill a little velocity). Landmark visibility was very good. We had no difficulty determining our position throughout all the face-down phase of powered descent. Correlating with known positions, based on the Apollo 10 pictures, was very easy and very useful."]
West Crater wouldn't have been visible at this stage and they didn't see it until after pitchover about six minutes later:
102:42:33 Armstrong: (With some urgency in his voice, possibly as he sees West Crater) Give me an LPD (angle).
[Armstrong, from the 1969 Technical Debrief - "In the early phases of P64, I did find time to go out of Auto control and check the manual control in both pitch and yaw and found its response to be satisfactory. I zeroed the error needles and went back into Auto. I continued the descent in Auto...We proceeded on the flashing 64 and obtained LPD availability, but we did not use it because we really weren't looking outside the cockpit during this phase. As we approached the 1500-foot point, the program alarm seemed to be settling down and we committed ourselves to continue. We could see the landing area and the point at which the LPD was pointing, which was indicating we were landing just short (and slightly north) of a large rocky crater surrounded with the large boulder field with very large rocks covering a high percentage of the surface. I initially felt that that might be a good landing area if we could stop short of that crater, because it would have more scientific value to be close to a large crater. (However), continuing to monitor the LPD, it became obvious that I could not stop short enough to find a safe landing area."]
[Armstrong and Aldrin, from the Crew Observations chapter of the Apollo 11 Preliminary Science Report - "This crater was later identified as one we had informally called West Crater during our prelaunch training."]
Once you know where to look, it's easy to find West Crater in the wonderful
AS11-40-5882HR.
This site helps:
http://www.boulder.swri.edu/~durda/Apollo/landing_sites.html