Use the browser picker from the keyboard

The browser picker takes keyboard input as soon as it appears. The mouse highlight stays off until you move the mouse.

Key	What it does
A number or letter	Opens the link in the entry that has that shortcut. Case does not matter.
↑ or ↓, in list mode	Moves the highlight up or down. The list scrolls to follow it.
← or →, in grid mode	Moves the highlight within a row.
↑ or ↓, in grid mode	Moves the highlight between rows. ↓ past the last row reaches Bypass Bouncer when it sits at the bottom. ↑ from the first row reaches it when it sits at the top.
Return	Opens the link in the highlighted entry.
Escape	Closes the picker. The link does not open.

Shortcuts and the position of Bypass Bouncer are set in the layout editor. See Customize the browser picker layout.