I do not recommend using the 3-volt filament option because the plate voltage is so low, the portion of filament is practically cut off. This will increase the output impedance and the distortion.
You can however parallel multiple cells for longer life. Sometimes AAs are cheaper than Ds per amp-hour, so a pack of paralleled AAs could be more economical.
Long ago there was a large single carbon-zinc cell called No.6. They were about 2.5" diameter and 6.75" long. I don't think anyone ever made an alkaline in that format. They may still exist, but carbon-zinc cells have a short shelf life and less than half the capacity of alkaline even when fresh, so it's not that great a deal.
There also used to be an F cell (IIRC) which was a longer D cell, 1.5 times as long. It went into 6-v lantern batteries, and was made in alkaline chemistry. But it seems to have disappeared, the lantern batteries these days are 1/3 air and 2/3 D cells. 12v lantern batteries also still exist, but in carbon-zinc only.
Wikipedia
http://en.wikipedia.org/wiki/List_of_battery_sizes says the PP-9 size is used in marine applications and is still available, it's a 9-v battery with 5000mA-h capacity(!) - but again, only in carbon-zinc as far as I can tell.