Don't make the mistake I did with my pulsar - replaced the head gasket before getting to the cap and seeing the cap was slightly torn (enough to stop pressure building so that the water would go through the radiator to the lower hose).
And yeh, the lower hose can be the one the thermostat blocks flow back from.
And yeh, a hotter thermostat won't hurt anything, design considerations apply including a slow acting thermostat, and the water away from the thermostat being hotter than that at the thermostat.
__________________
|