A quick way to estimate how long a capacitor will provide a certain anount of power is to use the RC time constant. So if you have a 100 volt system and 10HP it's 13000W or 130A and 0.77 ohms. So 0.7F is 0.54 sec. You might not even get that much because the TC is to 37% of peak voltage which is just 37V. The maximum sag of lead-acid batteries is probably to 50% and more reasonably to 70%. So you might only get 1/2 TC.
One way that might work better is to use a DC-DC converter or switching supply that can handle the full capacitor voltage at maximum and work down to about 33%, like a universal supply that works on 85-264 VAC. It could give your battery pack a boost of, say, 24 VDC on top of the 100V nominal. But it would have to be capable of full load current so that was just a brain fart.
Adding a small LiPo pack may be better, especially if it can handle 30-40C. There was another thread on that...