Sorry bud but I have to agree, we're talking minor comfort, not danger. Either way your feet will get wet, sweat from big heavy boots or soaked through non gtx trail runners. trail runners dry faster. In my experience when this happens (3x 3 week trails, tons of more minor stuff) you just put your warm clothes on, get your stuff done, and if the weather sucks you get into nice dry socks in your tent. If you're above freezing at least, you should easily be able to keep warm and have that translate into feet that aren't painful. Hell some dudes hike barefoot in the snow, not that I'd recommend it. Need be though? If stuff got really bad? clean socks, wrapped in bread bags, wrapped in wet socks, in your shoes, that should insulate fine Id think.
Go non gtx- you'll love it, plus most rain isn't day long buckets.