Have had good results with a Panasonic FT-3 but it's a bit long in the tooth now. I've read good things about the Oly Tough 4 but bear in mind that all these toughened cameras compromise between image quality, weather resistance and ease of use. I've had lots of good shots, as I said, but my non-waterproof Sony RX100 blows them away.
I have a FT-<something or other> it's great, so much that Mrs T uses it more than here own Lumix.
MrC, if you want to borrow it, to try it out, let me know.
The updated one (FT5) is not cheap, though, about £220.
I have the Lumix FT20, which is the cheaper model (current version is the FT30, which seems very similar, available for about £100).
It is a bit smaller and lighter than the FT3/FT5, though doesn't have GPS or wifi. Seems tough enough anyway, great for cycling or running in the rain, without worrying about it getting wet. No problems using with gloves.
Image quality is mostly OK, though like any small-sensor compact it will struggle in poor light/high ISO. Also not bad for video.