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C55x5: Block Floating Point

Hello,
We are considering for a future product a C55x5 DSP that comes along with a FFT coprocessor. In order to perform part of calculations in the frequency domain, we intend to implement the Constant-Overlap-and-Add (COLA) method as referred in http://www.ti.com/lit/an/sprabb6b/sprabb6b.pdf chapter 7.
However, having checked the API of the copro I am not sure if the DSP really fits to what we need as block floating point (e.g. http://www.ti.com/lit/an/spra948/spra948.pdf) seems not to be natively supported.
Is there a technique how we could profit from the FFT coprocessor to implement an efficient COLA that supports block floating point?
Any suggestions would be helpful.