I don't know of anything specific in the $200 to $300 range, but it shouldn't be hard to find something that meets your needs (if it exists in the $200 to $300 range.) I looked at the various Canon consumer models, and couldn't tell if they had bias voltage on the mic input from simply reading the specifications, so I did a Google search to find the online manuals, and it became clear from reading the section in the online manual about using external microphones that the several Canon consumer models I looked at didn't provide bias voltage. You might want to look at camcorders from Panasonic, Sony, Canon and others to see which models have mic inputs, then do some further investigation to find which provide bias voltage.
To do a search, if you go to BHPhoto website, click on the camcorder icon, then in the next display click on the new camcorder icon, and then at the left under Features, choose Mic input (or just click on the following link):
that will give you all of the consumer camcorders that have mic inputs. From there you will have to do some further research (perhaps going to the manufacturer's website) to see which provide bias voltage.
I should also add that there are some consumer lavalier microphones that don't need bias voltage as they have their own internal battery, and they should work with your HF R200 (the online manual implies that the HF R200 has a mic input), which doesn't provide bias voltage. For example, the ATR3350 should work:
Generally in audio gear, you get what you pay for. In this case you get more than you pay for. I have this microphone and I am very pleased with the quality of this $17 microphone. B&H also sells a Pearstone battery powered mic (OLM-10) for about $23, and it is a noisy piece of junk (which is what would be expected for $23.)