When you said the exact exposure that you like, that worries me
a bit. Because if you say you use the exact exposure settings on
the DSLR that delivers the image that you like on the DSLR then
you run into the problem that flying camera is talking about.
What I would suggest that to use your DSLR as a spot meter (and
not a center weighted or matrix meter). Set the ISO the same as
you would if you have a spot meter. Use the aperture and shutter
speed indicated as the meter reading. Use that reading as if you
got the reading from a spot meter. Since most people don't set
the camera exactly the same as the reading on a spot meter you
generally shouldn't do that either with the DSLR.