Edit: I had to make some drastic changes to the deck because Dun Baldar Bridge is too slow for the previous version. It needs board-flooding on turn 5 to make up for the tempo loss. Here's where Derailed Coaster comes in. You can think of it as a Soulciologist Malicia at that point.
Edit 3: I just saw that Vicious Syndicate had a similar deck idea in their theorycrafting article and realized that Taelan Fordring, Korrak the Bloodrager, Saidan the Scarlet, Cariel Roame and 1x Argent Squire are not what this deck needs since you rather want to go wide than tall to get max value from bridge. 2 changes I shamelessly copied from the VS list since I felt they were the right choice: 2x Underlight Angling Rod to get more minions in hand, and Animated Broomstick to leverage your board. If you compare the lists now (https://www.vicioussyndicate.com/decks/caverns-below-the-bridge-paladin/), you will see that this deck has better card draw.
Edit 4: Final change before launch: With Dun Baldar Bridge active, if you have Underlight Angling Rod equipped, with Mr. Smite + 2x Bloodsail Raider it's a 25 damage combo. I think this may be the finishing power that was missing before.