So I undertook to hook it up to a computer monitor (a 21" Samtron) where at least I could get some decent resolution.
I took the cable that came with the Xbox360 and spliced it to an old VGA extender cable I had laying around.
here's the pic of the Xbox360 pinouts:

(note: my photoshop skills sucketh)
armed with the the pinouts, you can easily connect the Xbox360 the your computer monitor.
Xbox Connector:
Pin
2 - *ground
5 - to VGA pin 15
8 - to your Audio Out (Right channel)
9 - *ground
10 - to VGA pin 13
11 - *ground
14 - to VGA pin 1
15 - *ground
21 - link to 22
22 - link to 21
23 - to your Audio Out (Left channel)
24 - *ground
25 - to VGA pin 14
26 - *ground
27 - to VGA pin 3
28 - *ground
29 - to VGA pin 2
30 - *ground
* - connect all ground together
VGA Connector:
Pin
1 - to xbox360 pin 14
2 - to xbox360 pin 29
3 - to xbox360 pin 27
5 - *ground
6 - *ground
7 - *ground
8 - *ground
10 - *ground
13 - to xbox360 pin 10
14 - to xbox360 pin 25
15 - to xbox360 pin 5
* - connect all ground together



