Yes, I actually do have an Epson Stylus Photo 960 also, but it is 7 years old, and also has head clogs. I was thinking of a model I could buy in a store now as the quick fix.

Right now I suspect my problem may be that when I put in the new ink, I put in a different 3rd party ink than I used before, and the two different non-OEM inks were quite possibly not compatible, so they formed some solid clumps when the two formulas mixed, and that led to head clogs.

I found an informative thread here: http://www.fixyourownprinter.com/forums/inkjet/25595 explaining in detail how to remove the R300 print head (not as hard as I'd feared) and soak it in a water bath to remove clogs. Several commenters in that forum said this worked for them. I'll give it a try.
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UPDATE 4/28/2010: I tried the disassemble-and-soak procedure on my R320. This fixed all but one of the heads, but the remaining head is not working at all- I wonder if I may have an electrical problem (flex cables not connected properly, or a trace broken?) At any rate I was out of time to fix the problem so I simply bought a new Epson Artisan 50 inkjet at the local Fry's. This is working fine and prints look great. It does everything as expected.

My only complaint at this time is the price of ink, and I recall that the old printer driver would say things like "can print 10 more pages like this with remaining ink". The new driver does not offer any such information. Ink remaining is shown graphically but without any numbers. Doesn't help to compute cost-per-page, which is an important number if you're printing any significant volume.

Based on recommendation from another user here I finally replaced my old Epson Photo Stylus 900.
I now have the Epson Photo Stylus R800 and it is an absolute joy to use. CD/DVD printing is all done from the front of the printer which is huge space saver for me. Print quality is fantasic, even get a choice of matte or gloss black. Comes with both USB and firewire.
This is not a cheap printer but it feels and sounds rock solid. It seems to use less ink than the 900 so I'm very happy with it, highly recommended if you've got the budget. I should add the Epson it replaced did a LOT of work over its 5 year life.

Bob.

That's good, Bob. But EIGHT ink cartridges? Yikes.

"But EIGHT ink cartridges?"

Not as bad as it seems.
Keep in mind there's two black cartridges and there's the gloss optimiser cardtridge. The old printer had one black and one for all the colors so I was oftenly throwing away some color ink. Much to my joy with this one, print mostly blue and only the blue cartridge is being used up.
The other benefit of this printer is I could get a CIE system for it. Not that keen as I tend to go say a month with no printing and then get a reasonable sized order. Probably the CIE ink bottles would dry up.
I can also get a rather attractive looking refillable cartridge system for around $100.

Bob.

That's cool.

Speaking of the frustrations with printers and CIS systems:

Video

Yeah, I had one and it recently pooped out one me. Unfortunately, Epson has discontinued that particular printer, much to my dismay.

Now I'm at a loss for finding something comparable to replace it.