Try a mesh base layer, such as the Brynje ones, in particular the Brynje Super Thermo, which is made of polypropelene and hence won't absorb liquid at all. Combine that with it being about 50% holes and you'll stay dry and warm as they are both very breathable and very warm as they contain lots of air, which is the thing which provides warmth in any garment. Put a *breathable*, close-fitting and windproof top over that as the only other layer and you should end up a lot drier, as should the clothing. If that proves to be not warm enough, a very thin, merino baselayer used as a mid-layer between those two will work well. I've been using the two layer approach in recent weeks and have always been warm enough (whilst moving at medium intensity); if you plan on stopping and standing around for more than a few minutes, take an extra layer for the stops!
Lots of manufacturers [now] have mesh base layers; I'm just very familiar with the Brynje ones from years of use in mountaineering. The key thing here is that the top layer be breathable ... If the top layer is impermeable, you're going to end up with wet clothes as there's just nowhere for the sweat to go.