What JP suggest is simply adding your 3 best times together, for example:
18 laps in 5m05s
18 laps in 5m13s
18 laps in 5m01s
= 54laps in 15m19s
Do that for everyone and you get a ranking in between round by round and TQ system.
If there are a lot less people on friday (which I doubt), they will have a slight advantage because some heats will have fewer people in them. But the advantage won't be as big as when you take the normal round by round system with points. Of course they also have more runs they can ruin (7/10) while people coming on saturday only have 3/6).
JP also says the track will be open friday all night long. Most people who can't make it friday during the day, will probably arrive friday night. So you can still go to the track and practise as long as you want, so you can start your first Q on saturday with a decent setup.
JP, a possible idea could be to make the 4 qualifs on friday 'controlled practise', like they do on the euro's. Or maybe 2 controlled practise and 2 real qualifiers, if you really want to keep some qualifs on friday. That way most people have 8Q's, and some will have 6, which makes the difference a bit smaller for those people.
Controlled practise is also great to make sure the counting system works well and to have people adjust to the start and ending procedures for each run, marshalling etc... That way, everyone knows exactly what to do in the real qualif, so you don't lose time waiting for marshalls, putting away cars etc...
I'm just thinking out loud, I don't wanna upset anyone! Just trying to help, it's not even in my benefit as I'm not racing the EIR2011