The only difference between the 165H6S and the 165P6S is that the H6S has LightScribe and the P6S doesn't - so the 165H6S is the right choice for you between these two drives. Other than LightScribe the two drives are identical.
The best media for any drive is quality media, not cheap media.
The highest quality media come from brands such as Verbatim, Plextor and Taiyo Yuden, other high quality brands include Sony and TDK.
If you have the time you can read some reviews:
Review of LiteOn 165H6S at CDFreaks
Review of LiteOn 165P6S at CDRinfo
Review of LiteOn 165H6S at CDRLabs
As an alternative the BenQ DW1655 is also a very good choice.
The BenQ 1655 will probably burn your CD-Rs better than the LiteOn, and it is a more reliable quality scanner for CDs, but the LiteOn is much better at reading DVDs with scratches or other defects.
No single drive is the best in all categories!