I think a better method would be to make the need to flip boards unnecessary in the first place. This can be accomplished by allowing the player to request a type of mission before the board is generated. Think of it like the mission givers asking the player “So, what kind of work are you looking for?” and then they see what they have available which would interest the player.
For example, if a player wants to do some mining they could select “mining missions” at the mission board interface, and then the boards would populate with only mining missions. No salvage missions, no data point scans, only what they are looking for and lots of them. They might not have any missions of that type, maybe mining missions aren't currently being offered in Deciat, but at least the player could easily see that right away rather than flip the board for 15 minutes only to leave frustrated. There would still be an option of “random” which would provide what we have now, lots of different types of missions if players wanted that.
This would make the game much more convenient for people to play the way they want to rather than need to fight the boards themselves. It also makes adding future new mission types to the pool very easy for Frontier without fear of board real estate being compromised. And it would greatly reduce the need to flip boards in the first place, if not outright make it unnecessary for 99% of the players.