It really shouldn't be too hard to get your CoCo talking to the TV. I've been a little confused by some of the posts, so... what is your current situation? Do you have a TV/Game switchbox? Like this?
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This is a later one that has a 75 ohm output; that's the one you want. You can adapt the ones that only have the two-wire prongs with a small matching transformer, but every connection you put in the chain will muddy the signal. If you have this part, then all you need is an RCA patch cable like this:
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To go between the switchbox and the female RCA port marked "To TV" on the back of the coco. Tune your TV to either channel 3 or 4, whichever matches the switch selection on the back of the CoCo, switch the TV switchbox to "Computer" or "Game" (some are labeled differently), and go.
I seem to recall the original Tandy switch box came with a long RCA cable already attached to it, so you didn't need a separate patch cord. But using a generic switch with the patch cable should work fine.
Have you tried wiring things up to a switchbox like that and haven't gotten any video at all, or gotten corrupted output?