You should plan to cultivate the high-clay soil with some amendments, particularly compost. The more compost you can add, the better. It will help to break down the clay consistency. Practically every cultivated plant (i.e. not weeds) requires soil with good drainage. Once you've worked in the compost, you can plant whatever you wish.

Here's a list of plants suggested especially for clay;
* Amsonia Blue Star (Zones 5-9)
* Asclepias tuberosa Butterfly Weed (Zones 4-9)
* Aster (various) Aster (Zones 4-8)
* Coreopsis Tickseed (Zones 4-8)
* Echinacea purpurea Coneflower (Zones 3-9)
* Eryngium yuccifolium Sea Holly (Zones 5-10)
* Helianthus angustifolius Swamp Sunflower (Zones 6-9)
* Helianthus x laetiflorus False Sunflower (Zones 5-9)
* Heliopsis helianthoides Ox Eye (Zones 4-9)
* Hemerocallis Daylily (Zones 3-10)
* Liatris pycnostachya Kansas Gayfeather (Zones 4-9)
* Liatris spicata Blazing Star, Gayfeather (Zones 4-9)
* Monarda fistulosa Wild Bee Balm (Zones 3-9)
* Ratibida pinnata Drooping Coneflower (Zones 3-10)
* Rudbeckia hirta Black-eyed Susan, Gloriosa Daisy (Zones 3-7)
* Sedum 'Autumn Joy' (Zones 3-10)
* Silphium integrifolium Prairie Dock (Zones 4-7)
* Silphium laciniatum Compass Plant (Zones 5-9)
* Silphium perfoliatum Cup Plant (Zones 5-9)
* Solidago Goldenrod (zones 5-9)
* Vernonia noveboracensis Ironweed (Zones 5-9)
* Yucca filamentosa Adam's Needle (Zones 5-10)