I plant a few pots each year with packs from Lidl. After dead-heading I feed with tomato fertiliser, or home-made comfrey fertiliser, until they die down. Then I shove the pots behind the greenhouse and forget them. If I remember I empty each pot in the late autumn (November) and if the bulbs look any good I repot them in new compost and leave in the unheated greenhouse over winter. If they look manky I toss them nthe compost bin. Perhaps that's why I have some interesting tulips flowering in odd places in the garden this year, adding welcome and unexpected splash of colour.
Hyacinths get planted anywhere not too wet (I'm on heavy clay too) - mine are under an apple tree and they continue to multiply every year - again I feed with tomato food after flowering and then forget about them.
I think it's getting an adequate depth of composty soil on top of your clay that could be the sticking point.