I would like to propose an alternative, based on my own experience. I own two Sony MZ-RH1's, as well as two HHB MDP500's. I definitely prefer the HHB for field recording, for the following reasons:
1. Robustness: the MDP500 is designed for professional field use ; the MZ-RH1 is very fragile.
2. Connectors: the MDP500 has XLR (line and mic) inputs ; the MZ-RH1 has a mini-jack.
3. Ergonomy: the MDP500 has large keys and display ; the MZ-RH1 has tiny buttons and display.
4. Connectivity: the MDP500 uploads via plain USB Audio ; the MZ-RH1 requires specific Sony Software.
5. Autonomy: the MDP500 uses standard batteries ; the MZ-RH1 uses specific Sony gumstick batteries.
6. Resilience: the MDP500 uses MD's that can be recovered after a crash ; Hi-MD's cannot be restored.
7. Price: a second-hand MDP500 can be bought for less than 200 euros (typically on on www.ebay.co.uk).
In short, I would recommend the MDP500, connected to the output of your console via balanced XLR's, to record your own performances on stage. And yes, you will have to accept one ATRAC 4.5 compression (during recording), followed by one ATRAC 4.5 decompression (during the real-time upload to the PC).