The big problem with the LCD is it uses up a lot of battery power, which is why digital cameras are notorious for burning through batteries. My Agfa had no LCD readout, and I got by on just two sets of four AA batteries for the whole two weeks. In the matter of battery power, if you're going to have a camera that depletes the batteries, look for one with the option to recharge batteries. In the matter of actually showing your photos, there are also several options. Some cameras let you plug directly into a television set and show them right away.
Digital images can also be output by film labs as slides.
Then you can return to the old standard way of boring your friends, via one of those interminable vacation slide shows.