IMO (experience) a stereo only system won't help. Although better quality it will also make everything louder not just the dialog.
Step 1. Buy a s/h AV amp with Dolby Digital and Dolby PrologicII decoding - approx £80 - £100 for a s/h Yamaha AX630 or similar.
Step 2. Buy a good center channel speaker, and a pair of full range speakers for L&R. New or secondhand makes no difference, just get a matching brand across all three speakers.
Step 3. Hook up the Sky HD with an optical lead and set the audio menu to Dolby Digital output. Add a pair of phono leads from the Skybox to the amp on a second input.
Step 4. Run through the sound & speaker setup on the amp: L&R on large, center on small, no sub, no surrounds. Set the speaker volumes so that left & right are equal, and so that center is marginally louder. You also need to make sure that the distances are correct and that the centre, L & R point towards the main seating area.
Step 5. Use Dolby Prologic II for most normal channels. Use D Digital for the film channels or any HD channel with DD information. (tip, having the Sky connected on two separate inputs - one optical, the other on phonos - will let you swap sound modes quicker and simpler than cycling decoding modes on a single input.)
Step 6. Look at adding some room acoustic panels to the room. They'll help you to hear just the direct sound from the speakers rather than the reflections from the walls which reduce unintelligibility. Drop me a line if you need help on the sound panels. I have some that are printable to a high standard with photographic images. They work out much cheaper than a similar sized portrait and look just as good. (600x600mm approx £200 printed,larger sizes available too.)
Step 7. Tweak the sound levels for centre, L & R as required.
This will work.
Regards
Chris Frost