Not OKC but Thunderbird Berry Farm in Broken Arrow outside Tulsa I believe has strawberries. They also have blueberries, raspberries, and blackberries. If I recall correctly, they do minimal/no spraying.

Last year they did a deal where if you didn't want to pay, you could donate your labor. You gave 2/3 of what you picked to them and you kept 1/3. This is what I did for blueberries last year and filled my freezer for the price of gas and a few hours out in the sunshine - it was absolutely wonderful and the staff is very friendly. Might be worth the drive if you can bring a crew with you! (Disclaimer: not sure what their crops are looking like this year with all the crazy spring weather!)