I assume that you are talking about no interruption from opps. Over 1S-1N-4S I would pass. Yes, I have the upper limit for my 1NT response, but still I have only one key card. If my hand becomes xxx, Axxx, x, AJxxx, I might be tempted to bid further. Over 3S, well, depending on partnership agreement. If 3NT is clearly not to play (serious 3NT), I would try that. If 4H is not to play and pd knows it is cue-bid, I would bid 4H. Otherwise, I would simply bid 4S.