Take out 4 to add 4? If I have any Stomping Ground out I would have 1 that could not find anything.

The odds of you drawing 4 in one game is very low. Or you could add some Mountains if you wanted to have more targets.

Incinerate and Browbeat are not very good. I would replace Browbeat with Magma Jet and Incinerate with Lava Spike. You don't need to worry about their creatures, you will be able to bring them down to 0 before their threats become relevant, so Anger of the Gods can go into the sideboard. Also Thunderous Wrath is good as a one or two of and Magma Jet helps you set it up. 1 manna for 3 damage should really be the standard you're shooting for, you want to maximize damage for manna spent in every way you can. I also feel Burst Lightning is just too slow.

You say lantern control is an issue for you despite being able to start strong with burn. Ideally you should be able to move quick enough for that not to matter, or really any deck. Another thing that I have seen which can be extremely brutal is 4 Goblin Grenades and 4 Goblin Arsonists and 4 Goblin Guides. 2 manna for 7 or 6 damage t1 (if you run Simian Spirit Guide) or t2 without. You want to make the deck as explosive as possible and as efficient as possible. Also, I feel Goyf doesn't really fit your game 1 strategy, he becomes relevant if your opponent sides in Leyline of Sanctitys for sure and you need to smash in, but Game one you may want to rely on almost entirely burn. You want to just go without thinking and not care about whatever your opponent plays, because you should be able to end the game turn 3 or 4.