I mean 'immobilized haptens' here as hapten molecules (or IgE epitopes) which are directly bound to a solid phase, not as hapten-conjugated lipid membranes like studies below.
Article Availability of dinitrophenylated lipid haptens for specific...
I assume this works. Of course you need to take a hapten that is recognised by the IgE on the surface of the cells. Why do you want to bind haptens to the plate instead of using soluble haptens? I think it is more difficult to get this done as compared to see activation of the cells... :-)
One option would be to mix e.g. DNP-BSA with Fibronectin to increase adhesion of RBL cells to plates. It may also increase sensitivity, although it is difficult to compare soluble phase with solid phase stimulation. Without fibronectin you will lose many of the cells if you decide to wash them.