Hard to know what will go without knowing how much sun, whether am or pm, and is soil moist or is there a lot of root competition. Plants like bleeding hearts do great because they can flourish in spring while there's better light and moisture, then go dormant when things get rough in summer, instead of struggling. And bleeding hearts can self sow like made; there may be lots of babies you can take out without decreasing the bloom you saw this spring on the mature plants.
Maybe Siberian iris planted near, will have enough sun to bloom, contrasting foliage shape wil stick up through the edges of bleeding hearts.
Maybe some coleus interplanted, would then take off once you cut back the bleeding hearts.
In any case, you may have to bite the bullet and make room by removing some bleeding hearts. This reminds me of when I realized that common bearded iris also develop into large clumps and then make a large ugly spot while they're dormant in summer.
