Is there any way to make a better looking BW print than using the channel mixer? 
Would I have to change the print profiles in order to ahve a more true BW color?

Any help is great. 

-steve

I'm not sure which technique you use exactly, but for myself, I like using the LAB mode and taking the BW from the L channel.

The luminance channel does give the exact greyscale values.
But for print you face the problem of having four or more coloured inks.
I personally prefer duotone (or even tritone) with a black and a near grey (a tiny bit blueish or brownish)

Attached Link: BW conversions

Put two Hue/Saturation adjustment layers above your image.   In the top adjustment layer, slide the saturation button all the way to the left.  On the layer directly above your image, set the blending mode to Color.  Now slide that layer's Hue button left or right and you will see the B&W
tones in your image change. 

@imager - wha? can you be a little more clear please?

@aprilgem- could you explain this a little more please?

scoleman, go to Image > Mode > Lab color. Then go to the channels palette and highlight the Lightness channel (so that both the A and B channels are NOT seen), and you should see a pretty decent grayscale of your image. If you like that grayscale, go to Image > Mode > Grayscale, and when it asks if you want to discard the other channels, click OK.

IMHO channel mixing is still the best way of colour->mono conversion. The Imgage->Adjustment->Desaturate command just reduces each channel to zero saturation, which I think is what Imager's method will do. Image->Mode->Grayscale weights each channel so that the three channels are combined in the proportions R:G:B 30%:59%:11%. This is supposed to produce an image which looks better to the eye.

LAB mode gives the same weighting as Grayscale but always looks lighter (so many people prefer it) as the L channel is deliberately darkened when combined with the A and B channels. Dan Margulis, the guru of LAB mode, doesn't recommend this method for mono conversion.

Which all leaves channel mixing as the best method, but it's also the most difficult one to get really good results - you need to analyse the channels carefully for best results.

Duplicate history state (tiny icon button 3rd from the left, (next to camera and the bin) in history palette. compare the two documents  side by side after the techniques

• image > mode > lab,

• show channels palette ... click the "Lightness" channel, edit select all. copy.

• image > mode > rgb

• paste, select pasted layer

• show layers palette -  change opacity 75%

• select background (colorful) layer

• image > adjust > gradient map. use the black to white gradient.

some images may need the mid point moved or a dark shade of grey shadow tones  or an off-white highlights but at lower opacities, the gradient map fills in some tonal range unchanged

I use a free plugin called Photo Wiz. It converts an image to black and white while leaving it as an RGB or whatever. The advantage this has, for me, is that it allows me to still use curves, adjust contrast, etc, use filters, whatever I like, which grayscale doesn't. Photo wiz also has a lot of other good filters..