Let's restrict this to men's players; otherwise, Jonquel is tempting.

Shawnta is a logical choice but I'd pick a far less obvious one.  I want to start with a guy who won a lot.  There is risk here because you have to analyze how much of the winning was due to the player as opposed to his teammates.  Turning that around though, I want someone who can fit in with a talented team and not let his ego dictate how often he shoots, etc.   I also want someone who is a leader and detests losing.  Next, I want a complete player.  You've perhaps guessed by now but I'd gladly start my team with Mike Hall.

Mike gives my team a solid shooter, good rebounder, capable passer, and lockdown defender who can guard the opponent's best player regardless of position.  Shawnta certainly had more clutch moments but this is largely in part to Mike playing with guys like Carl, JR and Mo Rice who were all prolific in big moments.  For as great a disruptor as Shawnta was on defense, opponents obviously had no difficulty shooting over him and that really was a concern at times.  

Statistically comparing the two players, Shawnta averaged 4.5 points per game more than Mike but also took 523 more shots while playing in three fewer games.  Mike had a better shooting percentage from both 2 and 3.  His effective FG % of 54.3% was quite a bit higher than Shawnta's mark of 46.3%.  Of course Mike had better rebounding and blocked shot numbers (despite Shawnta being just an incredible rebounder for his size) while Shawnta had the superior assist and steal numbers.  Shawnta averaged 3.1 turnovers per game while Mike's average was 1.3, but again, this is to be expected given the positions they played.  Shawnta was outstanding at the line and could close out games that way.  But at 77%, Mike wasn't exactly a liability there.

I'd sum it up by saying that what Shawnta was best at was superior to what Mike was best at.  But, Mike was so solid that there were no distinguishable flaws in his game while Shawnta, through no fault of his own, could be exploited defensively by better teams.  It's very close but I'll take Mike to start my team.