I believe a new, fresh charged auto battery should be able to discharge at 25 amps for about 100 minutes. Assuming your charger is working at 100% efficiency (which I doubt), you would need ~6 A for a 1 hr charge (or 3 A for 2 hrs). It would seem to me that your car battery may not be the newest, altho it might be fine for the car for some time more. Also your car may be keeping a drain on the battery that you are not aware of. I always turn off the indoor lights when I go to a contest, since I often leave the car door open. I have had a problem of no juice at the end of a day (that was a pretty poor auto battery in that case). Anyway, maybe the best idea is to buy a deep discharge marine battery for this job. Doesn't really cost any more than another Li-Poly Pack. Main disadvantage is having to charge it before going to the field, and hauling it around.
I am guessing this is one of the main disadvantages of electric. With the cost of Li-Poly batteries as they are, it is a financial effort to keep the equivalent of a gallon of $14 Sig fuel on tap.