Some naming ideas inspired by "Fat Bottom Girls" by Queen / Freddie Mercury...
At first I was thinking that the BA could be "Mercury", but there are a lot of interesting elements with higher atomic weights, so maybe the 250s should be "Mercury".
http://en.wikipedia.org/wiki/List_of_elements
Big Ass - "Dubnium" or "Nobelium"
Handsome 250 - "Mercury XL"
Good-from-far 250 - "Mercury"
tiny neo - "Helium"
or breaking with the element names... "tiny-o"?
or "tineo" (and put a bar over the 'i' to indicate that it is long)?
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Planets?
http://en.wikipedia.org/wiki/Solar_System
Big Ass - "Saturn"
Handsome 250 - "Earth"
Good-from-far 250 - "Venus"
Tiny Neo - "Mercury"
Next generation: extra solar planets; ones yet to be found and named?
http://en.wikipedia.org/wiki/Extra_solar_planets
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Greek (or Roman) gods?
I looked up Prometheus when I saw Promethium in the list of elements, and I like the story of how he stole fire from Zeus and gave it to mankind -- it reminds me of this current revolution in DIY audio where components, information, and support are available for even novice builders (like me) to build highly dynamic speakers:
http://en.wikipedia.org/wiki/Prometheushttp://en.wikipedia.org/wiki/Greek_gods
Big Ass - "Prometheus"
(see above) + Titan of forethought... (as in... you might need to have the forethought to build a brace or support for this one

)
Handsome 250 - "Apollo"
The god of music... handsome
The other 250 - "Artemis"
twin sister of Apollo... (sounds "crafty" from the rest of the description)
Tiny Neo - "Aether" or "Aphrodite"
(because the names are associated with being, or simply sound, "light" or "petite")
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No overthinking....
Big Ass
Handsome
Spartan
Tiny Neo
-Max