I have been using running shoes of one kind or another for trail and most off trail other than mountaineering since about 1980. When I come to any kind of a stream or river crossing, I just take my socks off and cross in my shoes, sock-less. The shoes themselves don't hold much water and can be shaken out. The socks don't get terribly wet from the wet shoes once I put them back on, and so, I'm back on my way in a non-squishy mode. I do use gaiters with the shoes to keep trail rubbish from getting into the shoe.