BHB - why is your 'GP' not 'armed' in the situation you describe? If it is you have a 'safety net' and you WILL always g/a at the DA/DGH or earlier if things are not right, no?
You can either wind it down to ?DA? or put it 1000' above current and use v/s. As long as you are LOC established, you are safe down to the LOC only DA, but LEM has a better idea.