If you're going to go to the trouble of scaling things (which getting medium res from Daytona USA to display on a TV or PC monitor will generally require), you might as well just put in a quality LCD, if you ask me. You could potentially use a PC monitor at 1024x768 (this is an exact 2:1 scale of arcade medium res and will look decent) if you can find one big enough. A 480i (standard def) TV won't probably look very good at all. 480i ("EDTV") might look OK.
Unless the tube's burn is bad, you might do better to fix the monitor. Most problems are fixable, though the troubleshooting can take a while.