Maximum total bid budget is actually a good idea! Instead of the maximum 15 players to bid on, we could have a number, let's say maximum 100 (the actual number would need to be refined) to bid in total without any limit on how many players we spend it on. Currently, we could bid 15 x 14 cards and create silly situations.
The total bid sum limit would encourage to spread the bids out and balance few expensive versus many small bids. This is something to be considered for the next war.