So there is a post on the bottom of the tstat that extends down to block the bypass hole? It's always warm on phoenix, so I think I would rather restrict it by going to a smaller hose. A hose barb for a 3/8 ID hose has a passage of about .300", big enough to allow circulation and reduce pressure on the tstat when fully closed. I have been tapping and plugging the bypass hole in smallblock race engines for 30 years with no problems, but I also always drill a 1/16" hole in the tstat flange to purge air and allow some circulation when closed.
Heath Diesel does something like this for dual t-stat setups that factory don't have the bypass blocker on the T-stats.
For the single T-stat setups you could boil coolant in the heads before the t-stats opens, but, Heath Diesel already does this so YMMV. The bypass allows coolant to move and open the thermostat. Granted the heater core also does this on single stat systems at least, but, I block the heater core flow.