Need advisement; decent video camera for skiing and sailing

I want to get back into shooting video, and dont know where to begin in assessing what kind of equip is available. Looking for something "prosumer" level I suppose in a 1.5-3k budget..... too start, as I go along i can add to the quiver with lenses etc. I studied film in school and then ended up skiing pro in front of the camera way back in the day, so lets say I am spoiled and want to do better then the average home movie.

had a sesh last winter on snow with some guys who used to make a lot of ski films back in the day, they were using a Casio Exilim Pro EX-F1 Digital Camera to shoot video..... a DSLR,,, the 300fps was great for capturing "the moment".

I am sure there are plenty of young enthusiastic videographers cutting their teeth on some decent equipment, I just dont know what that might be, but the question comes up "DSLR vrs camcorder".

Also, telephoto lens plays an important roll, would be nice to know what you recommend there as a daily standard.

I have no idea what you guys are shooting with these days but it would great to have some insight.

all recommendations and edification welcomed here. thanks