most of the resorts with all incs have lots of brits. if you want a more traditional turkish resort then i think you will find it difficult to get an all inc hotel.

we love turkey and have been visiting it for over 26 years now , i like to try different resorts and ive been to most, we do like olu deniz and that has some lovely all incs like belcekiz beach, olu deniz resort, sun city etc, but there are a fair amount of brits that holiday here. the other place thats our favourite is akyaka, this has hardly any brits as its a turkish holiday resort, very scenic, but there are no all incs there, but its fairly quiet and chilled and has a lovely beach, but i think even the quiet resorts will be fairly busy in the height of the season

http://akyaka.com/index.php

http://www.turkuaz-guide.net/gokova.html

http://www.idymahotel.com/en/index.htm

http://www.marmarisinfo.com/sightseeing/cleopatra.phtml

http://www.akyaka.org/index_eng.htm

good luck

Perhaps you should have a look at Turunc, Yes you will still get Brits but it really isnt big so it wont be heaving, It's close enough to Icmeler and Marmaris the two bigger resorts in that area, Dolmus buses leave from the main street in Turunc to go to them, Also water taxis go to both also.

Datca is another consideration, Here your very very unlikely to find British tourists, I went here for a day trip 2 years ago, Small beach and not one person was on it, I didnt actually see one restauraunt that served British food eithier in my short time. Note to get to Datca it will involve a long transfer from Dalaman Airport, Or you could fly to Bodrum Airport and catch the local ferry from Bodrum Harbour direct to Kormen, Ferry leaves Bodrum harbour at 09.00, arriving Kormen at 11.00 from where a bus will take you into Datca center, To return,the bus leaves the town centre at 16.30 ready for the ferry departure at 17.00 arriving Bodrum at 19.00. I think the cost this year is approx £10 one way.

I would agree Datca is a good place if you don't want to be surrounded by Brits. We stayed for a night summer before last, and we actually didn't hear one British voice. It is a lovely traditional Turkish town, with a few different beaches. It was buzzing around the harbour in the evening and had a lot of atmosphere. No idea if there are any AIs' there, I doubt it somehow. Eating out in Turkey is good value, especially this year, and the food is great.
Turunc is also a fantastic location and has got a couple of AIs' but it is also very popular with Brits. It is still quite traditional though. There is more than enough to do in the way of going on trips, and getting around to other bays or resorts is easy either by dolmus of water-taxi.
If you do choose an AI wherever you decide its not a good idea to go for a cheap one, you do get what you pay for!
Good luck, and I'm sure once you've been you'll get the Turkey bug like lots of others on this forum!

George Kalodoukas has a couple of hotels in Datça.

http://www.kalodoukas.gr/html/places/datcha_uslu.htm is an aparthotel with a good pool.

http://www.kalodoukas.gr/html/places/datcha_mehmet.htm# is a bit special.

No, I haven't tried either hotel. I usually stay 4 miles across the channel.