Agree. When I read the question, anti came in my mind (not short pips).
A few comments:
1) I agree that the OP might benefit from switching from D09c to commercial orange sponge hurricane which can be had for about $20-$22 USD per sheet. H3 is as tacky as D09c but without the bounciness and better in the short games (i.e. returning serves).
2) I agree with getting a coach as well. Or get someone from the club to explain spins to you well. I am always confused by rubber reviews such as Tenergy 80 is "less spin sensitive" than Tenergy 05. After all, both T80 and T05 respond to spin (they are both inverted rubbers after all) so you still have to read the spin if you want to return a serve with any quality on it. Maybe in the 40+mm plastic ball era, if you are not sure what spin is on the ball, just whack it like it is no spin? I can see how that strategy might work for some people.
3) I have always said, it might be easy to see someone else using a non-conventional rubber (such as anti, LP's, SP's and medium pips) but you don't know how much work that person has put on it. I used to play penhold and tried long pips and medium pips on my backhand for extended period of time. During that period, I was playing Jpen so I still used inverted rubber like 95% of the time but would occasionally return serves or push with LP's/medium pips to confuse the opponent. I can tell you, it is not easy to use LP's or medium pips well. If you cannot read spin, you can easily pop the ball up for an easy kill from your opponent (you still need to read spin somewhat even if you use LP's or medium pips). If you really want to switch, just be prepared that your rating will drop for about 3-6 months in the adjustment period. If you are willing to take that risk, then switch to a non-conventional rubber could be a good idea.
I am playing double inverted shakehand right now because I have a feeling that I have not reached my peak rating. Once physically I am on the decline with joint pains everywhere, then yeah, I will probably slap either SP's/LP's/anti on the backhand side (at the moment, I am leaning toward anti's). Right now, I am also playing mostly with friends at the club so pulling up anything that is not double inverted will ruin the fun so I am sticking with double inverted for now.