Hi,
Most books say it's usually better to 3bet a tad bigger out of position preflop especially with the limper's money, so pump it up to $0.28
As played I'd check/fold and check/fold turn when deep against an unknown, the board is just too gross unless you know he's loose enough to call preflop with all sorts of broadway cards, in which case c-betting the flop regardless and giving up on the turn unimproved is usually better.
As played I don't mind blockbetting the river, stuff like 99-QQ/8x will end up calling a smallish bet most of the time.
As played after checking the river, if he's nuts he might be telling the truth, it's a credible hand for him to have if he has no idea why he's shoving the river. I'm not calling without reads tho. I'd consider calling if:
- I've seen him merging weirdly before
- I think he'd raise flushdraws/6x at some point earlier
In which case the numbers of very strong hands he can have drops considerably and it's actually possible he's shoving the river with 8x/99-QQ just because you checked it, because he wanted to or some other bad reason.
Hope it helps.