Here is a wikipedia article; check the column for self-discharge, 3-4% per month for lead-acid for example. Unfortunately most lead-acid batteries will suffer damage if they are not recharged quickly after use.
Efficient regulators for large voltage ratios do exist, but they are digital pulse-width modulators and generate the kind of noise that we are using batteries to avoid. If you are willing to go that route you might as well generate the high voltage from a low voltage battery, using the same technology, and run everything off a single battery.
Quickie should work acceptably with a high voltage of 24 volts, so it can share a 24v power supply with Quicksand.
I still think alkalines are the most reliable power for the filaments due to their very low self-discharge rate. For longevity, you can parallel any number of them.
Low-self-discharge NiMH (sometimes called "pre-charged") have the advantage of a fairly constant voltage. It's not easy to find them in D-cell size - look for 8000-10000 mA-hours - and they hold their charge about as well as lead-acid without the tendency to sulphate. I don't know how well they deal with being paralleled.