Any experience futzing around with POS printer?

[Baby Lee]

I have a cheapo cheapo HP deskjet f2430 that is refusing to output anything, despite going through the motions.

I've run head cleaner numerous times, all the way to deep cleaning.
I've replaced both ink cartridges

The most I'll get is a stray mark somewhere on the page, never anything close to a coherent print job.

It will feed the paper and run the print head over it, all the motions of a competent job, except the result.

I'd just junk it except

It has a decent scanner [so if I junked it out right, I'd be in the market for a new scanner]
It's the printer nearest where I sit to do work at home [my 'good' printer is in another room on the network with the router].
And most importantly, I recently cleaned up my supplies and I have about $150-200 worth of cartridges for it that don't go to anything else I own.

Anyone messed around with manually unclogging a print head in junk quality printers?