I'm not very good with constructing hands and I don't remember the real one where this came up. Generally I'm interested in the situation where bidding is opened on my left, partner passes, RHO makes a simple raise, and I have a hand I want to compete with, but without T/O double shape. So this could be a hand like the above, or 4-4 majors when opponents open and raise a minor suit, etc. The minors case is probably harder because I can't just agree "ELC" or something of the sort.
So, is there a way to compete with such hands? If 2NT is the bid I'm looking for, what does a strong NT with good heart stoppers do when the bidding goes the same way?