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Well, your options for synthetic finishers (beyond 8k) are Naniwa 10/12, Shapton 10/16, and Suehiro Gokumyo 20k. I see many people advocating the Naniwa 10 and 12K, if I were to go for something...

Actually I think he may have gotten exactly what the seller claims they are. The Naniwa 2/5 :

Naniwa Super Stone 2000 / 5000 grit combi | knivesandtools.co.uk

And 220/1000 :

Naniwa Super...

I don't think I've ever seen a 10 or 12k combined with anything. I know they make a 3/8 combo stone, but I don't think you really need something between 2 and 5 so your best bet (I would think) is...

I've successfully polished away 1k stria with a Dragon's Tongue, so assuming his PHIG is capable of finishing a razor and his DT is finer than 5k he should be able to finish a razor with what he's...