I'm no expert, and can't comment decisively on your proposal though I'd tend to be pessimistic about it. However, something sure to work would be to place perforated panel absorbers, at least 8" deep, on top of your bookcases, going up as close to the ceiling as possible. If you have 8' ceilings, this idea is out. If you have 9' ceilings, that would be enough. You'd then want to work out the resonant modes for your room and tune the absorbers accordingly. You can learn how to do that from F. Alton Everest's "Sound Studio Construction on a Budget", from any other book of his, from Robert Harley's "The Complete Guide to High-End Audio", and from various other books. A deep panel absorber works over a broad range of bass frequencies.
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