Palio AK47 Reds could fit the bill nicely, but only if you're teaming them with a blade that has either hinoki (or hinoki-like) outer layer woods, or else (and even better) are using a one-ply blade.
Without the hinoki outers, AK47 Reds are a slightly-better-than-average non-tacky rubber from China. They have good to very good levels of spin, speed and control, with mid-hard sponge (45 to 47 degrees). They still retain a slightly 'spongy' feel at that hardness, and are also extremely light at just 38-40gm cut.
Only a short lifespan on them sadly, as the cut edges tend to fray, chip and lose small patches of top-sheet very quickly -- thankfully their very low retail price compensates brilliantly for their short life. They are also very insensitive to incoming spin like you mentioned (despite being quite adept at creating plenty of spin of their own.)
When mounted on a super-bouncy outer wood like hinoki however, in my experience these rubbers really go up a notch, and start bordering on premium-rubber territory with their performance -- especially when actively blocking, counter-hitting, or power-looping at medium distance
Given you can currently buy AK47 Reds on Aliexpress.com for less than $20 Australian each (ie: less than 12 Euro a pop!), in my opinion they're almost a no-brainer for offensive-minded fans of hinoki blades.
I wouldn't try boosting them though, as I suspect they might fall apart -- their softer top sheet makes them pretty fragile already. Besides which, here the hinoki outers will gives you the exact same effect without any extra effort.
The AK47 Blue is the soft-sponge version of the same rubber, and at 38-40 degrees it teams with hinoki even better than the Reds do IMO... but then again, soft-sponge rubbers aren't everybody's cup of tea.
Hope this helps - good luck with it