Ahoy,
Way, way late so I truly hope you have found a solution by now.
If not, how about you dilute your PCR product prior to adding the binding buffer?
This way the binding solution buffer capacity should overcome the PCR mix buffer capacity.
e.g. rather than using 10ul PCR product and 15ul of Binding buffer (1.5 ratio)
you could use
10 ul PCR product + 20 ul H2O and then add 45ul of Binding Buffer (still 1.5 ratio).
And during the final elution you can reduce your volume to 15-20ul once more.
The technique relies on buffer concentration and not the Bead to DNA ratio so you would not even have to use more beads.
Cheers
Tim M