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I dug into the programming manual, and as long as you have your measurement fields preconfigured in the TDS1002B, you can poll them significantly faster than the supplied driver VIs. I was able to poll all three measurements in 0.650 s, whereas doing a serial read on all three via the drivers took ~3.50 s. Here's the VI that I used to do this.
Also, try to adjust your vertical range so the signal nearly fills the screen. This will take better advantage of the oscilloscope digitizer, and I found that this increased the speed of taking measurements programmatically. (600 ms --> 400 ms)