Best 3 card hand out of five cards

[Raymundo]

Many of you may not care about this as it pertains to a best 3 card hand out of 5 cards, but what the hell, maybe one of you will and can verify my results. This started out as an exercise in probability and has turned into a bit of a nightmare.

Possible three card hands are
straight flush
three of a kind
straight
flush
pair
high card

The question is, what should be ranked higher--straight flushes or trips?