How do you say your team number?

[Nathan Streeter]

My typical enunciation matches what you described:

1519: Fifteen, Nineteen

For pretty much all 4-digit teams it's just broken into the two 2-digit numbers... unless the tens-place digit is a 0:
1114: Eleven, Fourteen
2056: Twenty, Fifty-Six
1902: Nineteen, o, Two
1717: Seventeen, Seventeen
3467: Thirty-four, Sixty-seven
1310: Thirteen, ten

3 digit teams are pretty much always a 1-digit number than the 2-digit number... again except if the tens-place digit is a 0:
469: Four, Sixty-Nine
987: Nine, Eighty-Seven
610: Six, Ten
330: Three, Thirty
103: One, o, Three

2 or 1 digit teams are just however you'd say their number usually:
67: Sixty-seven
25: Twenty-five
1: One

It always sounds so strange hearing someone announce our number as "One thousand, Five-hundred Nineteen..." but that really only happens when you have a non-FIRSTer announcing team numbers for a match for some reason. FIRSTers usually go the four-syllable method rather than the tongue-tying 8-syllable route!