Yikes. I would be surprised if either of those products make you happy in the long run. They are one-trick ponies - I mean, to be less-unfair, they are special-purpose devices. They are probably great for what they are designed to do, but may not be ideal for you and your Rhodes, and your home projects. Either of them will cost close to $180.00
Most of the beauty of your sound will be coming from your Rhodes piano, only a little bit can be blamed or credited to the amp - especially in a home recording situation. (Okay, I like how that is a huge oversimplification. But the point it, your Rhodes just sounds so sweet. It just does.)
So, if I were you, I would look at the very small four or eight channel mixers (like a Mackie Mix 8, or a Behringer, or Samson), and I would look at maybe the Art Tube MP as well. All of these are obscenely cheap (less than $100.00).
If you got a Mackie Mix 8 for $75, or one of their small VLZ mixers, you will be very happy with the sound you get out of your Rhodes (the Mackie has plenty of gain and headroom). Your piano will not sound sterile, it will sound like a Rhodes. The only things missing would be reverb and compression. (Wow. The Mackie 12FX is only $120. If you stepped up to $200 you could get the 802VLZ4.) Oh, you may want a phaser or a chorus effects box... but that is a different discussion.
When you use the Mackie mixer to record your Rhodes, you will also be able to plug in a microphone or two, and also maybe even another keyboard as well. It would make rehearsals a lot easier too.
Some of the tiny mixers may not up to the job for plugging in to all their inputs. I have a Behringer 802 mixer that I can overload by plugging in a synth or sequencer at the same time I try to play bass or organ. The power supply circuits can't seem to keep all the ICs at full voltage, and you can hear it in the output. I can have the same number of inputs with less demanding audio signals, and it works fine, but.... well, it is pretty sad. I have never had this problem with my Mackie mixer. Anyway....
I have never used the ART Tube MP but there are fans on this bbs that like it.
It would be a real pain in the ass, especially in winter, but you could drag your Rhodes down to the local music store and ask to demo a few options. They should ooh and aah over your Rhodes, and hook you up. Remember to try headphones as well as the room sound.