John, is your question solely limited to tee shots?
What about approach shots to par 4/5s?
I do not have any objections provided the bridges are "low-key" and do not present an excessive optical distraction.
I mean. the bridges must be there for a reason...like, um....to allow golfers to get over a river or stream. Without them, would the hole still work or would the entire premise be moot as the "other side" would then be unavailble for play.
My preference, of course, is to avoid penal hazards in general, but - given that some great courses are routed around running water - bridges are fine. Build them tastefully and play away please.
Someone at the club will have stories of a topped drive hitting the bridge and bouncing over onto the fairway then making a birdie!!