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You can't fight physics. There is no design that will have the antenna gain you need in those two directions over all the channels you need at the same time.
The visual to have in mind is a balloon. A round balloon could represent the response of an ideal isotropic antenna (0 dB reference). The air inside will represent the energy captured. As you add elements to create gain in certain directions, this has the effect of squeezing the balloon - pinch the back or sides and the front extends forward. Note that there is no extra air - antennas are passive.
Tayloring the structure to make the forward beam wider will mean it will stick out less. In your case, you will still be looking at very low gain on the beam edges. You will be spending a lot to put antenna gain where you don't need or won't use it. Listen to Tigerbangs.
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