I know I'm fighting a loosing battle here, but still...
The H2 has a mini-phone jack input so to get from the mixer you will need to use a 'Y' cable that has an 1/8" TRS phone jack on one end and the other end terminating in whatever type of jack the mixer has (probably 1/4" phone jacks). Not so good especially considering the H2 will have to be picked up and turned from side to side to be able to work the controls and this will put strain on the cable which will eventually make it fail. Then to make the recording useful, meaning turning it into a CD, you have to connect the H2 to a computer running the appropriate software.
The H4n is better in that it has XLR inputs. But these plug in from the bottom of the unit, and again some of the controls are on each side of the unit and you still need a computer to get the recording onto a CD.
The H2 sells for around $175.00 and the H4n for around $350.00. CD Duplicators start around $300.00 for a two bay and can go way above $1000.00 for multiple bays. The CDR420 sells for around $1400.00 so it is a more expensive route for sure. But the professional quality, ease of use, being completely self-contained and self-reliant makes it worth the extra money, at least to me.
Another option is from Microboards and is called the CopyWriter Live as seen
HERE . This unit has two CD burners and has the ability to span from one to the other; as the first CD becomes full, the system automatically starts recording onto the second drive. This unit sells for around $700.00.
Remember, this device is for use in a static setting, a church where several different folks are going to be running sound at any given time. Having a table top, full sized, permanently mounted, sturdy unit may be a more suitable decision. Just my opinion.
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Wm. David McMahan
LearnMyKeyboard
JazzItUp Band