There are many free media players that can play 24bit 96khz flac files. I use Foobar2000. Winamp and VLC can also play them. 
To play flacs in iTunes, try Fluke: http://blowintopieces.com/blog/2008/05/15/fluke-play-flacs-in-itunes/
or just convert to Apple lossless with XLD.

You can also burn these to a DVDR disc, which will play on your standalone DVD player.

The only freeware program I know of that does this is Lplex.
http://sourceforge.net/projects/audioplex/
It authors a DVD-Video disc (with a blank picture) with the 24/96 LPCM audio.
It's easy to use and works. Although it works with flacs, with 24/96 flac files, you need to decode to wav first. After processing, you will end up with an .ISO file and/or a VIDEO_TS folder, either of which can be burned with burning software (I use IMGBurn). The only config setting you may need to change is the PAL/NTSC setting, if your player only plays PAL discs. (It defaults to NTSC). It defaults to gapless playback.

Another good program is DVD Audio Solo.  http://cirlinca.com/index.htm
It can author a DVD video (with blank screen) or a "DVD-Audio" disc (need a DVD-Audio player to play those) with 24/96 LPCM audio. It's shareware and comes with a free trial and costs $45 to register.

If you want to burn to a regular CD-R, the files will have to be converted to 16bit and 44.1khz. This can be done easily with an application like Foobar (right click on each file, and select convert). For better quality resampling and dithering, use a program like Izotope RX Advanced.

*note: the files created for this particular mono album are single channel. If playing back through an external sound device, some settings may need to be changed. For my setup, in Foobar I change the ASIO device SPDIF left & right outputs to "center".  If you have trouble burning to DVD, you may need to convert each file to 2-channel (stereo), sound will not be affected, file size will of course be twice as big.