While I still like the idea of using cards for 4AD encounters, I realize that it will be a lot of work before I realize that dream. So, in the interim, I put together a virtual version in Excel.
On the left of the screen is the dungeon "map" using the grid method I experimented with a few days ago. I can number the squares as I enter them, add notes, and display doors using shapes. The paladin figure shows where the party is located.
To the right is a random encounter. I'm creating a table with all the 4AD encounters. I have another table where I can indicate which encounters might occur for the adventure. This allows me to tailor a particular adventure. These tables are behind the scenes. When I refresh the game screen, a new encounter will pop up. To replicate the experience of drawing cards, I numbered the encounters (e.g. minion 1). If a particular encounter occurs again, I will ignore it and "re-roll."