Bishop Has Too Much Money to Spend

The goal of the deck to play as many upgrade/support as possible leaving only high cost events and resources in your deck. This lets you have a high chance of triggering your response correctly and healing up using Bishop's Uniform and whatever damage left over would be healed with Healing Factor.

Everything else is made to help your other teammates and make you as tanky as possible.

The main upgrades you're looking for would be Healing Factor and Bishop's Uniform to keep you alive. Bishop's Rifle helps you do a lot of damage when your entire hand is filled with resource cards. Avengers Mansion can be given to your teammate or used on yourself when you have no cards to play but all the resources to pay with.

Front Line Specialist works very well with bishop because you're never defending and triggering your response. Since Bishop's and Front Line Specialist specialist has the same trigger window, you can choose which to trigger first: if your deck is mainly resources Bishop's response might be more useful to be triggered first then Front Line specialist.

Since you will be generally at full HP and your had would be full of resources, 'Pool Inspection, Da Bomb are mainly used as resource sinks.

You can swap out Stick-To-Itiveness or Rock, Paper, Scissors for cards like Plot Convenience to cut your deck down even further or share cards between player (e.g. an aggression player can give you Hand Cannon which makes your Super-Charged overkill for 13 damage!)