For those in the US the GT210 can be had for $25 at newegg. It is low profile, passive cooled, has HDMI out, and in my experience can handle 1080i TV broadcasts with no issues.
Newegg.com - MSI N210-MD512H GeForce 210 512MB 64-bit GDDR2 PCI Express 2.0 x16 HDCP Ready Low Profile Ready Video Card - Desktop Graphics / Video Cards
Newegg.com - MSI N210-MD512H GeForce 210 512MB 64-bit GDDR2 PCI Express 2.0 x16 HDCP Ready Low Profile Ready Video Card - Desktop Graphics / Video Cards