Remap buttons on secondary device

I've seen a number of discussions that are similar to this issue but I haven't yet been able to get this working.

I recently broke my left pinky finger pretty badly. I got the Fragpedal Quad and am trying to remap the pedals to things like control and alt and tab.

The device behaves like a mouse - by default, the pedals are mapped to scroll wheel up, scroll wheel down, right click and left click. When I run xinput, I get the following:

⎡ Virtual core pointer                      id=2    [master pointer  (3)]
⎜   ↳ Virtual core XTEST pointer                id=4    [slave  pointer  (2)]
⎜   ↳ Good Work Systems, Inc. GWS IDI Device    id=9    [slave  pointer  (2)]
⎜   ↳ PixArt USB Optical Mouse                  id=11   [slave  pointer  (2)]
⎣ Virtual core keyboard                     id=3    [master keyboard (2)]
    ↳ Virtual core XTEST keyboard               id=5    [slave  keyboard (3)]
    ↳ Power Button                              id=6    [slave  keyboard (3)]
    ↳ Video Bus                                 id=7    [slave  keyboard (3)]
    ↳ Power Button                              id=8    [slave  keyboard (3)]
    ↳ Good Work Systems, Inc. GWS IDI Device    id=10   [slave  keyboard (3)]
    ↳ Lenovo Lenovo Black Silk USB Keyboard     id=12   [slave  keyboard (3)]
    ↳ Lenovo Lenovo Black Silk USB Keyboard     id=13   [slave  keyboard (3)]

The pedals are the "Good Work Systems" device.

The closest I've gotten to getting this to behave how I want was creating and editing an .xbindkeys configuration as such:

# Copy
"xte 'keydown Control_L' 'key C' 'keyup Control_L'"
  b:5

# Cut
"xte 'keydown Control_L' 'key X' 'keyup Control_L"
  b:4

# Paste
"xte 'keydown Control_L' 'key V' 'keyup Control_L'"
  b:3

# Select All
"xte 'keydown Control_L' 'key A' 'keyup Control_L'"
  b:1

But this affects my regular mouse buttons too. How do I specify a per-device keymapping?

Map your device's mouse buttons to unused mouse buttons, then use your xbindkeys to refer to those.

1. Use xinput list to find your device's id.
2. Use xinput set-button-map to remap your buttons to other mouse buttons. For example, if xinput list indicates your device's id is 15, and your device has four buttons, do xinput set-button-map 15 10 11 12 13. You've now set device 15's mouse clicks to be b:10, b:11, b:12, and b:13.
3. Update your .xbindkeysrc to remap those buttons to your desired shortcuts.