Don't rule out moving simple items to make space. I know it's not same layout but I've added batteries under the hood on 3 Land Rovers: Discovery 1 and 2 they either just turn the factory position 90 degrees and add another right against it. Size specific though.
Size that fit was 2 Optimas same size as factory, but 2 so you have separated house power for a fridge and 12v ongoing. I forget which D1 or D2 had that solution but the other one we removed the factory bottle jack from front port side corner and added 2nd battery there. Factory location in front starboard corner was simply replaced with better battery. However now my choice is Odessey instead of Optima.
Next, in my Disvovery 3, I replaced factory battery with Odessey 1750 which fits fine but the big job was fitting the 2150 into the factory allotted dual bay on port side near back of engine bay. This spot is only sized for factory dimensioned unit but we cut away the box forward, moved some brackets, and just barely tucked this tall long very heavy battery into that spot.
Then in front of there is tucked a small ARB compressor which feeds a 2nd factory air tank mounted underneath between starboard side sill and frame. Makes for nice few minutes of high flow air before compressor has to start again.
Anyway, the LR3 bay was way bigger than the Disco 1 and 2. I can get photos if it's helpful. We still have all three vehicles