NEUTRAL SPECIAL: DUAL PISTOLS
Lara wields dual pistols as her neutral special. Before you shout Joker at my face, hear me out. Joker's gun has him fire a shot and then he either keeps shooting if you hold the button or he awkwardly moves from his place or he jumps. For Lara I suggest she can move freely with her dual pistols, kinda like Mega Man's pellets. Unlike Joker the rate of fire and range will be much higher. The bullets would cover a longer distance than Joker, with the knockback kicking in half way through. Think of the move as a combination of Mega Man's pellets and Joker's gun.
SIDE SPECIAL: BOW
The side special would be her firing an arrow from her bow. And before you shout Link at my face, I have an idea to make the move different. If you hold down the shield button and then press B you would open a menu of different arrows that you can pick and use. The default arrow is the silent arrow, it deals normal damage and has an unlimited number of uses. There are the poison arrows, which if hit would deal 13% of damage over time and the number of arrows is 10. There are the fire arrows, which have a similair usage to Young Link's arrows in that they send the opponent upwards to set up for combos, the number of arrows is 15. Lara also has the grenade arrows, which deals the highest knockback compared to all the arrows and can be used as kill options, the number of arrows is 5. And finally there are the Armor Piercing arrows, these arrows pass through opponents and projectiles, which means they can hit multiple opponents. These arrows can also pierce the opponent while they're shielding, making them great poking tools. The number of arrows is 10.
UP SPECIAL: GRAPPLE AXE
The up special would be Lara swinging her Grapple Axe upwards. It's a tether recovery that is similair in use to Joker's hook. One difference however is that if it hits an opponent, instead of bringing them towards her like Joker, Lara would swing using the rope in an arc until she's almost behind the opponent in which then she'll kick them flying in the opposite direction above her.
DOWN SPECIAL: PROXIMITY POISON GAS MINE
Her down special would be her planting a proximity poison gas mine. It's similair to Snake's C4 except instead of a regular explosion it deals poison damage to the opponent instead. If an opponent comes close to the mine then it will automatically detonate and trigger a poisonous gas. The mine can also be remotely detonated to trigger the gas. If triggered, the move deals 16% over time quickly. The purpose of the move is to be an area of denial move that limits the opponents movement. Combine the gas mine with her poison arrows and you will find Lara dealing tons of damage over time.