To convince myself it could be done, here is a preliminary list of digikey parts for the project (based on Guzzler's earlier list of parts). Please PM me with changes, errors, omissions, etc.
# Descr .................................................. .......... Digikey Part #..........Price / min quantity
1 x PCM2902 (SSOP28) ................................................. 296-12986-5-ND ........ $9.00 / 1
1 x 74HC04 (SO14) .................................................. . 296-12883-1-ND ........ $0.44 / 1
1 x TPS793 4.75V (SOT23-5) <-- pain to solder! ....................... 296-12160-1-ND ........ $1.14 / 1
1 x 560µF 6.3V Panasonic FC .......................................... P12705-ND ............. $0.48 / 1 (backordered)
2 x 22µF 10V OS-CON SC (or equivalent similar, FCs are fine) ......... P11213-ND ............. $0.32 / 1 (inexact match - 25V (6.3V available))
4 x 1µF Wima MKS-02 (or similar, tantalum should be ok, 2.54mm pitch). 399-1337-ND ........... $0.41 / 1 (tantalum - 25V)
6 x 100nF 0805 ceramic capacitors .................................... PCC1843CT-ND .......... $0.06 / 10 (panasonic ecg)
1 x 10nF 0805 ceramic capacitor ...................................... PCC1991CT-ND .......... $0.09 / 10 (panasonic ecg)
2 x 33pF 0805 ceramic capacitors ..................................... PCC330CGCT-ND ......... $0.05 / 10 (panasonic ecg)
1 x 1M 0805 resistor ................................................. RR12P1.0MDCT-ND ....... $0.15 / 10 (sasumu 0.5%, .1W)*
1 x 1K5 0805 resistor ................................................ RR12P1.5KDCT-ND ....... $0.15 / 10 (sasumu 0.5%, .1W)
1 x 360R 0805 resistor (higher quality, if possible) ................. RR12P360DCT-ND ........ $0.15 / 10 (sasumu 0.5%, .1W)
1 x 91R 0805 resistor (higher quality, if possible) .................. RR12Q91DCT-ND ......... $0.15 / 10 (sasumu 0.5%, .1W)
2 x 22R 0805 resistor ................................................ RR12Q22DCT-ND ......... $0.15 / 10 (sasumu 0.5%, .1W)
1 x 12MHz HC49 crystal oscillator .................................... CTX058-ND ............. $0.94 / 1
1 x 10µH 1210 inductor ............................................... DN10103JCT-ND ......... $1.02 / 1
1 x USB B-type connector ............................................. WM17109-ND ............ $1.94 / 1
1 x RCA socket
1 x case
1 x USB cable
Edit: added usb connector.