Hi,
I have some ideas in my mind, And I want to compare them with yours. Victory conditions Are 7 castles or strongholds. For Targaeryen player it is 7 loyalty. Dragons start on CS 2. Targaryen is not always last on all Influence tracks

Game board changes:
King's Landing - stronghold, - crown
Pyke - supply - port, - stronghold,+ castle
Harrenhall - castle, + stronghold, + supply
Storm's End - castle, + stronghold, +supply, + crown
Eyrie overlay used
Bite overlay used
Boneway + supply
Prince's Pass - supply

House home areas:
Targaeryen - Dragonstone
Hoare - Harrenhall
Lannister - Lannisport
Dundarron - Storm's End
Martell - Sunspear
Arryn - Eyrie
Gardner - Highgarden
Stark - Winterfell

Targaeryen (IT 1, VSB 8, KC 5, VT 1, ST 1)
Starts with 1 loyalty at King's Landing
1 Ship at Blackwater Bay
1 Ship at Shipbreaker Bay
2 Dragons and 1 Footman at King's Landing
1 Footman at Cracklaw point
1 Footman and 1 Dragon at Dragonstone

Hoare (IT 2, VSB 4, KC 8, VT 4, ST 3)
1 Ship at Ironman's Bay
2 Knights and 1 Footman at Harrenhall
1 Knight at Seaguard
1 Footman at Pyke
1 Footman at Greywater watch
1 Footman at Flint Fingers
1 Knight at Twins

Lannister (IT 3, VSB 7, KC 2, VT 1, ST 5)
2 Ships at Golden South
1 Knight at Searod Marches
1 Footman at Blackwater
2 Knights at Stoney Sept
2 Footmen, 1 Knight, at Lannisport

Dundarron (IT 6, VSB 1, KC 7, VT 1, ST 3)
2 Knights and 1 Footman at Kingswood
1 Ship at Storm's End port
2 Footmen at Boneway
1 Knight and 2 Footmen at Storm's End

Martell (IT 7, VSB 6, KC 1, VT 3, ST 3)
1 Ship at Sea of Dorne
1 Footman at Salt Shore
1 Knight and 1 Footman at Yronwood
2 Knights at Starfall
3 Footmen at Sunspear
1 Footman at Prince's Pass

Arryn (IT 8, VSB 3, KC 4, VT 1, ST 3)
2 Ships at Narrow Sea
2 Footmen at Fingers
1 Knight and 2 Footmen at Mountains of Moon
1 Knight at Vale of Arryn
1 Knight and 1 Footman at Eyrie

Gardener (IT 4, VSB 2, KC 6, VT 3, ST 3)
1 Ship at West Summer Sea
1 Ship at Redwyne Straights
1 Footman at Three Towers
1 Footman at Dornish Marches
3 Knights at Reach
2 Footmen at Oldtown
2 Footmen at Highgarden

Stark (IT 5, VSB 5, KC 3, VT 3, ST 3)
1 Ship at Bite
1 Ship at Shivering Sea
1 Footman at Karhold
1 Footman on Stony Shore
1 Knight, 2 Footmen at Moat Cailin
2 Footmen at White Harbor
1 Knight and 1 Footman at Winterfell
1 Power token at Castle Black
1 Power token at Widow's watch

House cards:
Targaeryen
4 : For each dragon in embattled area this card gain +1 CS and +1 sword
3 : 1 sword + 1 fort
2: If you win, you may muster 1 ship at Dragonstone port
2: Sword
1: If there is a dragon in embattled area, this card gain +1 CS and +1 sword
1: If there is a dragon in embattled area, this card gain +1 CS and you gain 2 PTs
0: 1 fort

Stark
4: 1 sword + 1 fort
3: You may return your opponent's chosen house card or you can immediatly discard 1 card from his hand
2: 2 swords
2: If you win, you may muster 1 knight at Winterfell
1: 1 fort
1: 2 forts
0: Ignore text abbility of your opponent's chosen house card

Hoare
4: 3 swords
3: 1 sword
2: If you win, you may destroy 1 footman on map
2: 1 sword
1: 1 fort
1: 1 fort
0: If you lose, you may gain 2 PTs

Martell
4: 2 swords
3: sword
2: 2 forts
2: If you win, your opponent must discard 2 PTs
1: If you are defending and you lose, move your opponent by 1 back on supply track
1: If you lose, destroy 1 of your opponent's units in embattled area
0: Choose 1 card in your opponent's hand and discard it

Lannister
4: 1 sword + 1 fort
3: sword
2: If you are supported, this card gain +1 CS and +1 fort
2: If you win, you gain 2 PTs
1: Prevent all od your casualties
1: If you are attacking, your footmen have CS 2 (instead of 1)
0 Return 1 card from your used cards pile to your hand

Dundarron
4: If your opponent is higher on VSB track, this card gain +1 CS
3: 1 sword+ 1 fort
2: If you are defending, reduce your opponent's played house card printed CS to 0
2: If you win, move one position higher on any influence track (2 positions if is VSB track)
1: 2 forts
1: if you are higher on VSB track, ignore text abbility of your opponent's played house card
0: If you are defending castle or stronghold, this card gain +2 CS

Arryn
4: If you win, you may place defend order token to the embattled area
3: 1 sword + 1 fort
2: 1 sword
2: If you win, you may use 1 muster point at Eyrie
1: 2 forts
1: Your ships add +2CS instead of +1 CS
0: Of you have defend order token in embattled area, its value is trippled

Gardener
4: For each knight in embattled area, this card gain +1 sword
3: 2 forts
2: If you are supported, this card gain +1 CS and +1 sword
2: 1sword
1: If you win, you may move 1 position higher on supply track
1: 1fort
0: You may discard 2 PTs. If you do, you may play an additional house card during this battle

Crown orders for positions on KC track are like this: 3,3,2,2,1,0,0,0.
I wasn't able to recreate Influence tracks yet.
Thanks for feedback