Use a free phone/laptop app, usually called Wifi analyzer or something like that to check that your Wifi broadcast is on an isolated channel and has strong reception. Often times routers bunch up on the first channel, which later gets congested with more neighbors. This can definitely lead to drop-outs, but haven't heard of this causing entire streamers to hang up.
Based on what you are describing it sounds like you have some sort of power supply issue. If you have a wall wart, replace it. If your house is in heavy heat mode it may be so dry you are having static issues and increasing the humidity may help, especially if the issues happen after you touch it. While a good conditioner like a Furman with LiFT and SMP can protect you from surges, it's possible this issue is an aging power supply.