I've played around with BA's low fare API (the same data you see on the low fare finder on ba.com). I structured the data a little different from what you see on ba.com and sorted it by price. Views available are

• All destinations/cabins sorted by price (e.g. cheapest BA does in the next 12 months is Dublin in Y for January for £40.24 return).
• All destinations but filtered by cabin (e.g. cheapest First fare in the next 12 months is Boston for October for £1,677.14 return).
• Lowest fare by month
• Lowest fare by destination
• By cost per tier point (best deal is Sofia in January for £1.02 per tier point).

All of the above offer a direct link to the low fare finder on ba.com so you can check on which days of the month the offers are available. Data is updated every 3 days and is available on https://beartravel.org/p_ba.php.

Let me know what you think...