The Toshiba 30HF83 has a DVI input, if I used a standard DVI/VGA Adapter would a DC VGA Adapter still work?
Only if it's a DVI-I or DVI-A input. Toshiba's spec sheet doesn't mention what type of DVI it is, though I'd expect that it is DVI-I because it's a CRT. You might want to have a look at the illustration at the bottom of this page.