When you stored your racket in the attic, was it inside a bag or with film protectors, or by itself, in other words was the rubbers exposed or contained/covered?
In my experience: 1) Xiom Vega China as already suggested 2) Yasaka Rakza Z
1) is available only in Max, so it's quite heavy, but it's relatively inexpensive
2) is available in Max and 2.0, if you want to save on weight.
Both are surprisingly very sticky but they play more like a boosted H3 (to...
It might be worth for you to also test Xiom Vega Europe H, 45 degrees of hardness and it's H-touch, not C-touch, so it's slightly tacky. I did like it on BH, it needs a fast-ish blade because it's not really fast, but flicks, under spin opening and serving are great with this rubber.