If you are playing 88+ fantasy land then obv.
T
JJ
QQ
is best. This is not best for non-fantasy land or QQ+ fantasyland.
TT is a 5 point royalty. But a full house is a 6 point royalty. If you go for a 5 point royalty on top, you weaken the rest of the hand, and while you probably won't get scooped, you won't scoop your opponent either. You have 3 outs to make your royalty.
A full house is a 6 point royalty. and you have 4 outs to get there. Setting QQJJ back means also that you can go for a very strong middle - making two pair there allows for an AA or KK top, which if you boat up in back, is not only certain to scoop, but alsomake an enormous royalty.
If the hand builds out to something like
KK2
TT447
QQJJQ
You should expect 6 + 8 + 6 = 20 pts total.
My second choice is
X
QJ
QJT
If you go for a royal in back, you will need to dump early diamonds that are not the A or K which will block the other hands from developing, making a scoop less likely.
Note that on my starting set would normally break a pair of QQ for the purpose of going for flush over flush or a royal. Fo instance, in instead our initial 5 cards were QJTQ9
X
Q
9
Q
J
T
This should be obvious.
But regarding two pair vs royal draw
CONSIDERING THE BACK ONLY:
Two pair becomes a boat 54% of the time, so 6 * .54 = 3.24
QJTs becomes a royal less than 3% of the time, so 25 * .029 = .725
While a 3 flush will make a flush in back (normally) 63% of the time, if we are going to discard diamonds under 9 for the 6th-8th street, then we'll make our Q high flush less than 40% - 4 * .4 = 1.6
However, if we put *any* diamond in back immediately, then we make any flush 63%, and this is then 4 * .63 = 2.52
So, 2.52 + .725 = 3.245 for the royal+flush - it would appear to be a
WASH between puting two pair in back and setting for the royal (when a royal is worth 25), EXCEPT that if we take
ALL available diamonds as they come, the EV for a royal will be somewhat less than .725, for those times that we take other diamonds that end up blocking the royal. We're going to end up blocking a royal more than half of the time that the royal might have come in if we take any diamond, so the EV of a flush + royal is more like 2.9
The WORST set is
T
JJ
QQ
UNLESS you are playing fantasy land where TT gets you into fantasy land.