And the flush queen. So that's KcJc, JcTc, Tc9c - or lower. Not completely impossible seeing as he knew he was going into a multiway pot (CO had already called) - not good because CO is short (40bb) - not bad because both BTN and Hero are deep (near 200bb). BTN with stats of 18/9 seems to call more than is generally recommended so may play hands passively preflop. No 3bet stats are indicated so no reason to rule out QQ either.

All that said: I read a post on 2+2 a half year ago about min-raising. The summary was that they ran some statistics on more than 1000 hands that saw a min-raise. One observation was that min-raisers are normally showdown bound. In fact out of hundreds of hands that ended before the showdown only one (less than 1%) of hands saw the min-raiser fold later in the hand to a bet. Point being... well two fold.

If you think your opponent may be min-raising without being pot committed and without it being a pot sweetener - you may be wrong. So it may actually not be a standard line with flush draws.

If you think my vagueish memory of what some analysis may have reached in terms of conclusions is nothing to go by - you have a database of poker hands yourself surely? Filter for min-raise actions (on any street) and run some analsis on the sample to see if you have similar conclusions at your limit/site/etc.