Which champions are suited to League of Legends Dominion Map (and which should be avoided)?
Riot games have put a special effort into having balanced champions for this game style as well. I don't believe there are any champions to avoid. However, the team composition changes a bit.
AP Carry
You will still need one, or else the other team will just build against AD and will own you as soon as they are a bit stuffed.
Tank / Off Tank
King in solo holding the bot lane, also very good in "tower diving" (if we can still call it so in Dominion).
Melee Fighters
They tend to be the heroes everyone picks as they are sort of kings on this map. They deal quite some damage and have high sustainability (so they don't need to Back often), and are often very good in 1v1 (which happens pretty often in Dominion).
Ranged AD Carry
More than one is too much, but not having one (to have more fighters) is a handicap. He deals crazy damage and can attack out of tower range or defend minion waves without exposing himself in front of the tower. From the games I've played or seen, having only melee champs is clearly a handicap.
Support
I rarely see them in Dominion and believe they are overlooked. Each time I've had one on my team, it was awesome to hold the windmill (we never had to back, support would always buff/heal us). However, having a support requires good team play, because the champion won't do anything on its own (compared to fighters).
General
As XP gain is so fast in Dominion, teams are usually built with mid/late game champions. Riot tried to correct this in a previous patch by lowering the XP gain aura on the map, however, you still get to level 6 tremendously fast, so don't hesitate in taking weak early game champs (like Kassadin, useless before level 6).
Try having a hero or 2 (at least) with high mobility (Rammus, Kassadin, Nocturne, Twisted Fate, etc.) to do lane swaps and be unpredictable in your tower attacks.
Conclusion
All heroes are viable. It all depends on the team composition.
Good Akali, Irelia and Xin Zhao champions can however be freaking awesome with their ganking abilities and life steal.
There's a few advantages in Dominion that don't equally apply to the classic game:
Mobility
Champions with high mobility can reach top first, or support lanes faster.
- Rammus (powerball + ghost = ftw)
- Blitzcrank
- Teemo
- Zilean
- Nunu
- Twisted Fate (at lvl 6)
Sustain
Champions who don't rely on base to heal can constantly exert pressure on towers. Energy, heal, spell vamp, etc.
- Akali
- Sion
- Vlad
Global Ults
Useful for disrupting a capture or killing minions you can't reach.
- Gangplank
- Ezreal
- Lux
Strong Pushers
Great for bottom lane, they overwhelm the enemy with minions.
- Hermerdinger
- Nasus
This is by no means a complete list (as I'm not familiar with all the champions). Also, I aimed for specific use cases. Jax isn't anywhere on my list, but as a tanky melee dps, he's very well suited to dominion.
Some of my favorites (although I haven't played tons of Dominion)
Gangplank:
- Great sustain with W (oranges)
- Team speed buff on short cooldown
- Global ult that is useful in many situations
- Stop the enemy from capping
- Initiate a teamfight on hotspot like Windmill
- Finish off kills
- Escape / defense
- Q is good for poking and sniping high movespeed enemies
Wukong:
- Got buffed with Shyvana patch
- Was already a good pick
- Great gap closer, good damage with Q
- Fairly tanky, can take some hits
- His ult is awesome for teamfights around pivotal capture points
Udyr
- Crazy sustain
- Very hard to kill while still doing great damage
- Bear sprint gives him mobility on short CD and stun
- Can also push lanes well
Jarvan IV
- Often overlooked, after numerous nerfs
- Can hold a tower pretty well
- Has strong ganks, landing E -> Q -> W does nice damage and R seals the deal
- Can poke with spear, push waves, and is kind of hard to kill
As you can see, I prefer tanky melee, but you obviously don't want to just roll with 5 tanky melee. Other known strong picks are Akali, Vayne, and Rammus.
I think just about anything can work in Dominion. I've even seen a few very annoying Evelynns and Poppys. I'm interested to try Tryndamere.