Hi smom,
Sorry it took so long to get back to you here.
Yes, you could find moulding to do that with, but, on those large doors they will have a tendancy to sag with that type of construction, it would be almost impossible to make those joints strong enough to hold the weight of the door up and square because the hinge side bears all the weight. That is why cope and stick joinery is used in a lot of cabinet door construction.
I think you are better off either buying the doors or going with solid. you could always put a trim on the outside of the solid doors to "spiff" em' up. And you could also use 1/2" veneered ply to cut the cost and weight. Euro hinges (the kind that need cups drilled for install) are cool but not necessary, there are all kinds of cabinet hinges that will work just fine without the need for special drilling.
Hope this helps. have fun with it, looks good so far...