When I've been dating I ask women to go for a walk because going for walks are very important to me. The trail at Bell Park is well trod 12 months of the year because you are absolutely right that going for a walk can be dangerous for women. I wouldn't dream of asking a woman to walk through an excluded trail on a first date.
On one of my walking dates the lady couldn't go more than 50 metres without stopping to sit down. There wasn't a second date.
Early in our relationship my gf Denise joined me in hiking the Crack and Granite Ridge in Killarney PP. We're moving in together in April.