If you have played any games you will know honor running is currently hard. Not only is it difficult but it can be boring as you are conflict card starved with low bids.
A simple holding could be the solution with the below action.
Action: Draw a card if your have 3 more honor than your opponent, if you have 5 more draw 2.
The details could be tweaked but I think something like that would help - it may need to be unique. What do you think?