12.02
http://hi-games.net/cube-3x3x3/watch?u=151
Or if you mean a real cube, I'm not sure what you would consider to be "no fingertricks." I mainly push with fingers, no finger flicking or wristing.
Chris Hardwick, Fridrich, and Frank Morris and other people who were cubing since the beginning tend to wrist more, but that doesn't mean they don't have their own style of fingertricks. The definition of fingertricks is just way too non-specific.
If you mean by slow solving and not turning as fast as you could and try to resist the temptation of going faster, or that your fingers are frozen and you are incapable of fast motion; then, my best solve like that is around 16s and best average around 19s. (I guess that would be almost no fingertricks.)
Edit:
Just did a solve where I tucked my index fingers in and did not use them at all and did pure wristing. It was too easy to pop. I got 40.81.
The difficult part is too pretend that index finger doesn't exist. I've done that so well that it feels really odd typing this sentence. I'm now typing with my fingers misaligned.
Even non cubists do not pretend they don't have index fingers and do pure wristing even for U moves. If you mean turning like a non-cubist, then it is best simulated on a stiff, unlubed store bought, where I can average around 26 that way.