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.
I would play something like this. You probably need to cut one removal for another power, and I would cut one execute or maybe the extract if you prefer.
1 Finest Hour (Set1 #130)
1 Ironfist Faithful (Set4 #99)
1 Argenport Stranger (Set2 #246)
1 Bannerman (Set5 #252)
2 Barrel Through (Set5 #82)
1 Hooru Stranger (Set2 #247)
1 Kerendon Steward (Set5 #159)
1 Sparring Partner (Set2 #77)
1 Strength of Many (Set2 #73)
2 Execute (Set1 #277)
1 Extract (Set2 #155)
1 Hero of the People (Set1 #156)
1 Makeshift Barrier (Set5 #254)
1 Slay (Set2 #236)
1 Stand Together (Set1 #334)
1 Umbren Deathwatcher (Set4 #221)
1 Aerial Spotter (Set5 #96)
1 Lethrai Intimidator (Set5 #172)
1 Breathstealer (Set5 #177)
1 Infused Guardian (Set5 #67)
1 Mithril Mace (Set1 #171)
1 Rampart Arbalest (Set4 #136)
1 Auric Captain (Set5 #180)
1 Champion of Mystery (Set2 #213)
1 Crownwatch Captain (Set5 #105)
1 Prosecutor-at-Arms (Set2 #97)