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To determine the best place for the battery, I think you need to put the car on scales. Without doing this step your are completely guessing as to where it should go by "feel". I'll have to bring my notes from last season to work with me, I could give you what my weights were, may give you some ideas, although my car is pretty well stripped down compared to a streetcar.
I think the concern of making the car tail happy, shouldn't be too much of a concern. Think about this. If we put you in your car and covered the gas gauge and sent you out for some hot laps, not telling you if the tank was empty or full, do you thin you could tell? Most likely not. That tank being full or empty is a bigger weight loss/gain. A full tank of gas is more than 80 lbs. I doubt that you have noticed that the car becomes "loose" with an empty tank of gas, or vice versa.
Concentrate on getting the car balanced AND reducing weight at the same time. Relocate a smaller light battery, after you have determine where it needs to be with the use of scales. You can only corner jack so much, the only way to really get your coner weights perfect is by moving stuff.
Last comment, if you do relocate the battery inside the cockpit or have it mounted in the trunk with no back seat (there is an opening between you and the trunk) get a sealed battery and mount it in a box. Normal batteries are vented, they are full of acid and bad things can happen if they are overcharged or shorted out.
with love, bubb rubb
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