Hi Schtrumph,
As you well said, the NI PXI-5660 has a real time bandwidth of 20 MHz. This means that you will not get your entire signal bandwidth since your symbol rate is 22 to 33 MHz at the same point in time. I am unsure on what do you mean by decreasing the bandwidth, you mean your signal bandwidth? or the 5660? If you decrease your symbol rate, you can reduce the bandwidth but if you filter the signal, then you will loose information and probably the entire signal.
The only solution, with the information given here, is to reduce your signal bandwith by reducing the symbol rate.
Hope this helps,
Gerardo O.
RF SW Engineering R&D
National Instruments