Local bypass capacitors don't carry much RMS current. Don't worry about it. Once the nets are routed a bit away from the chip and you have the space, go up to trace widths that are adequate for the DC capacity.
Worry more about width and length for stray inductance. That's what, 0.5mm pitch QFN? 10 mil traces can connect to those, and 0402 caps fit right inbetween (broadside). Or 0603 lengthwise with somewhat finer traces.
Can use the exposed pad for ground connections. It needs thermal vias anyway. Pour solid ground on bottom for 2 layer build, or preferably mid ground on 4 layer.
Tim