Loz,
I have never tumbler to Damping Off, been growing it a few years now. I am also lucky that I rarely if ever get a problem with damping off in anything. This year I have lost one aubergine and that is it. I do not use any chemicals to help.
Simply sow thinly or in individual pots, use a free draining compost, if you use multi purpose add some grit or washed sand and perlite.
Use vermiculite to cover seeds if you think they are at risk and make sure you have plenty of ventilation and air movement.
As I heat with an electric fan I get good air movement but I also open windows on sunny days and indeed move pots and trays outside to a cold frame or a sunny spot on the patio for the day if the forecast is good.
HTH
Jerry