PMI, AGP, ALC, VLC all start from 1 July but not necessarily daily. BIO and SVG start 13 - 15 July. TFS and MAH on 18 July. And GIB isn't Spain but is useful for some places.
Some flights seem to have sold well in the last 24 hours, I see some AGP flights that have shot up to Y and J only fares overnight. That should abate in a few days.,
In essence BA are currently flying 15 departures a day from LHR, this goes up to 55 or so from 1 July, then 100 approx from 16 July, and August's schedule hasn't been greatly amended (300 plus departures daily).
More information here, note the wiki and my spreadsheet.
Impacts of virus to BA's July schedule