The kernel image you downloaded probably isn't compiled to support your sound card. You should compile it yourself.
To do this:
1: Download the kernel-source rpm from here.
2: Install the source rpm
tar -jxvf linux-220.127.116.11.tar.bz -C /usr/src
The kernel source should reside in the /usr/src/kernel-18.104.22.168 or /usr/src/linux-22.214.171.124.
3: Configure your kernel.
Don't turn off File Systems > EXT2 or EXT3, compile them into the kernel (press Y) rather than installing them as a module (press M).
Look under the drivers section under sound devices. Turn OSS off, as it is deprecated.
Under the ALSA menu, try to find your soundcard, and press Y or M (depending on whether you compiled ALSA as a module or into the kernel
5: Quit the menuconfig.
6: Type the following:
Your new kernel should appear in the grub boot list, but will not be the default. Test it first, and if the kernel fails to boot, then reboot into your old kernel to fix it.
Any other questions I will be happy to answer.