My partner and I have played the following, which we have found works well for over 40 years. After the double of 1NT (12-15), responder with 0-9 HCP, bids any 5-card suit (natural) or passes (forcing, alertable) without a 5 card suit; redoubles with 10-12; passes (forcing, alertable) with 13+. If RHO passes the forcing pass, bid a 5-card suit or redouble without one. With a weak hand, partner responds to the redouble with 4-card suits up-the-line.