Well, here's the rules for the Tournament;
-300pts
-all fig under 100pts
- at least 4 figs required
-feats allowed on pre-LoSH figs

I'm debating between a "League of Assassins" team consisting of;
70 BB026 The Sensei
70 BB026 The Sensei
33 BB011 League Elite
33 BB011 League Elite
22 BB004 League Assassin
22 BB004 League Assassin
22 BB004 League Assassin
22 BB004 League Assassin
5 GXS101 Crimson Gem of Cyttorak
(299Pts)

and an Apokolips teams consisting of;
94 BB030 The Parademon
62 BB015 Parademon Drill Sergeant
62 BB015 Parademon Drill Sergeant
33 BB008 Parademon Grunt
33 BB008 Parademon Grunt
5 GXS101 Crimson Gem of Cyttorak
(289Pts)

I'd go with the League of Assassins team. Low on mobility, but keeping the Senseis basing other figs will put their leadership to work, and lots of penetrating/blades action going on.

Despite the Parademon Drill Sergeants power, theres not a lot of damage output with the Parademon team (except The Parademon) and the drill sergeant will probably hurt your own team some of the time anyway.

I'd go with League of Assassins and try to work in the ATA. It's 7 points each, but forces your opponent to close combat you.