Yeah, LiteOn doesn’t make BD drives anymore, really. You may find bits in some OEM computers (maybe out of contractual obligations), but they don’t put any out under their brand names (including Plextor and HP), nor do any of the other companies who rebadged them have them for sale (ASUS, Sony, & TEAC; Optiarc no longer exists). So like Kerry said, eBay would be your best bet for that.
I cannot confirm that LG’s BDRE drives do bitsetting for single layer DVD+R…but pretty much everyone says it isn’t possible.
However, getting an ASUS 16x BD-RE drive (made by LG) should guarantee DVD+R to DVD-ROM bitsetting support, as they request that feature in their firmware, if you decide it’s a main concern. (Source of this information: member czary2mary gives a lot of good information both here and on other forums…though that other forum is in a slightly different language ).