Sorry for the delay I forgot I had to take my wife to a medical appointment.
I just finished printing it out at 240 dpi 5x5 inch print.
It looks fine very close to the image on my calibrated screen. Tonal range overall is pretty good no crushed blacks, could use a little bit of contrast adjustment but overall a great image nice work!
If you lived a little closer I would bring it over and show you.
I suspect your client does not know what their doing when it comes to printing.
One thing I would do with your images though is take them into photoshop and assign an srgb profile to them and re-save. Right now your image has no color profile assigned and I'm assuming it is srgb which most 3d rendered images are. The printer on the other hand could be expecting an adobe rgb image and applying the wrong profile to the image before printing. That's why you should always assign a correct color profile to an image before sending it off for printing.
Your client may not even know what color management is so in that case it's a real toss up if the color comes out ok.
I would highly recommend you get a
http://www.xrite.com/i1display-pro if you don't already have one and calibrate your display. it is a really accurate device and well worth the cost.
It will give you peace of mind that what you give the client is correct color and dynamic range.
Keith