I'm looking for a pair of interconnects that won't shatter the bank....

Okay, to answer your question correctly: YES. You absolutely may use video cables (75ohm coax) as an analog audio interconnect.

And in fact it is actually a good choice.

As HiFiGuy528 points out, you can also use a video coax as a digital audio interconnect (which requires 75ohm coax).

Curbach is correct that he does not know, and despite it 'sounding' like a bad idea, it is a perfectly fine idea, and you are most likely correct in assuming that these will probably better than some cheapos.

For analog audio, the primary needs are good shielding, and low capacitance. A video coax will by definition have a shield, and generally it should be quite decent, and often quite good particularly if it's a larger coax. In addition, a 75ohm coax, by the inherent physical geometry of a 75ohm coax line, will have rather low capacitance which is also good. Check and check!

It should also be noted that 75ohm CATV coax (the stiffer stuff for cable TV/Satellite, etc) is usually copper-clad-steel, and should NOT be used for any of these purposes (analog audio, digital audio, analog video, digital video). It should also be said that the reverse of your question (can I use an analog audio cable for video, digital audio, CATV?) will depend on the cable, but the answer may be NO (unless it is a 75ohm coax and it is so labeled clearly on the cable).

Cliff notes: absolutely go ahead and use them. And you should feel good about the choice. In fact, it's not a bad idea to buy high-quality video cables and use them everywhere as you are less likely to run into bizarre 'snake-oil' type designs. The disadvantages are (basically) nil, from an engineering perspective."