I had to read through that several times and I'm not certain you provided all the details. So here is what I came up with that seems to hit your mark:
high of day is greater than (current price minus low of day) times 2 plus current price
Meaning that the difference between today's high must be twice the distance from current price as the current price is from the low.
If that is correct, then the scan looks like this:
plot scan = high > (close - low) * 2 + close;
You run this in a Study Filter that is set to daily time frame. All of the data points needed are right there on the current daily candle. No need to drill down into the intraday time frame to compute this value and run the scan. Results will update throughout the day as the current daily candle continues to change throughout the day until the markets close.
The only reason you might need to do this on an intraday time frame is if you needed to include the high and low from extended hours session.