I have found a funny way to do this with Karabiner installed.
Add this to your private.xml:
<?xml version="1.0"?>
<root>
<item>
<name>Command sequence</name>
<item>
<name>Option-R</name>
<identifier>remap.option_r2command.cfv</identifier>
<autogen>
__KeyToKey__
KeyCode::OPTION_R,
Option::KEYTOKEY_BEFORE_KEYDOWN, KeyCode::C, ModifierFlag::COMMAND_L, KeyCode::VK_WAIT_100MS,
Option::KEYTOKEY_BEFORE_KEYDOWN, KeyCode::F, ModifierFlag::COMMAND_L, KeyCode::VK_WAIT_100MS,
Option::KEYTOKEY_BEFORE_KEYDOWN, KeyCode::V, ModifierFlag::COMMAND_L, KeyCode::VK_WAIT_100MS,
</autogen>
</item>
</item>
</root>
Then enable it in Change Key > command sequence > Option-R
A single key press on the right option key will evoke the cascade of command-C/F/V shortcuts.
This doesn't work in Sierra (because Karabiner still isn't Sierra compatible) and depending on the responsiveness of your app you may have to adjust VK_WAIT_100MS to higher values like VK_WAIT_300MS. You can alternatively use other usually rarely used keys like shift_r. A shortcut like alt_r/opt_rX should also work.
If you want to use alt_r/opt_rX as "shortcut" private.xml should look like this:
<?xml version="1.0"?>
<root>
</item>
<item>
<name>Command sequences</name>
<item>
<name>Option_R-X to Command-C/F/V</name>
<identifier>remap.option_r-x2command.cfv</identifier>
<autogen>
__KeyToKey__
KeyCode::X, ModifierFlag::OPTION_R,
Option::KEYTOKEY_BEFORE_KEYDOWN, KeyCode::C, ModifierFlag::COMMAND_L, KeyCode::VK_WAIT_100MS,
Option::KEYTOKEY_BEFORE_KEYDOWN, KeyCode::F, ModifierFlag::COMMAND_L, KeyCode::VK_WAIT_100MS,
Option::KEYTOKEY_BEFORE_KEYDOWN, KeyCode::V, ModifierFlag::COMMAND_L, KeyCode::VK_WAIT_100MS,
</autogen>
</item>
</item>
</root>