Since they aren't entirely for other peoples use, I prefer to title my work. Plus my gallery would be fairly cluttered if I had two copies of every image. Perhaps I will stop with the titles then (at least on the images).
As for your problem with the sizes, you should theoretically be able to render to any size. Memory is a limiting factor, but you can get around that, it'll just be much slower.
Fractal art is really just the manipulation of some mathematical objects. The tricky part is the calculations that must be performed to produce the final result.
The bigger the image you want, the more calculations / more complex in size, and the longer and more memory it will take.
Because of this, I'd never attempt such a size unless I had a lot of time on my hands. On my current computer (2.6Ghz dual core, 3GB ddr2@667Mhz) It takes about 20 minutes to create the images you see on my deviantArt account (minus the photoshop time).
I use Apophysis, if you want to check it out.
One other thing i forgot to mention, because fractals are just a bunch of lines, if you don't take proper precautions, the end quality can be really bad. Often you need to oversample the render (e.g. render it at 2x the size you actually intend it for, if not more), as well as use a certain quality. If you want a 24" image with very high quality, your going to be waiting a veeerrryyy long time.
I did try making an image at 8800x8400 and it crashed (though i was experimenting with some settings), perhaps its because it requested 4028 MB of memory and I only had 2000 some odd available.
Goodluck regardless.
just call me...
~FSM~