Process is pretty simple. Keep the board clear with removal til you reach 5-6 power, then unload to face. It's not unusual to have an 10 dmg Flash Fire finish the game. If that doesn't do it the 11 power Midias, Leyline Dragon should.
The ShiftstonedEternal Power Calculator is a deck-building tool that visualizes your odds of drawing enough Influence and Power based specifically on the cards found in your deck.
Since you have 8 market access cards and flash firing anything but face for lethal feels pretty bad most of the time, what about putting it in the market? Makes it easier to get the first copy but then you can't have multiples.
While true, it is in essence still just a removal spell, so while yea it feels bad throwing 7 pts at a 2/4, it does feel nice throwing 7 pts at a 7/7 or a site if you have to. Having 4 copies of that option is good. Plus it triggers Firebrand, so you get additional bang for your buck.