Hi Rajb,
You could use your USB-6251 to control the HB-25 with Pulse Width Modulation (PWM), as long as the current requirement is within the specification of the 6251. This however, would be software timed control, meaning it would be nondeterministic and you can't guarantee accurate control. I roughly estimate the latency between reading the inclinometer input and writing a PWM signal to the motors would be anywhere from 3-10 ms. That number comes from some rough tests I did on my computer, not from the user manual, so it is not a guaranteed statistic. However, it does serve to give you a basis for judgment on whether your 6251 will be sufficient as a controller. If that is insufficient, you will want to use a cRIO chassis, which is much faster, and deterministic. You would still control your motors with PWM through the H-Bridge and whatever software algorithm you write, but it would be on a Real Time target.
I hope this helps!