Judging from the tires being wet, it could just be condensation sitting in the exhaust and burning off. Not hard to check for BHG stuff though. Here's a few signs that COULD show it's a blown head gasket:
Oil in the coolant. Pull off the rad cap and see if you can see rainbows/swirls in the coolant.
Bubbling in the overflow. Keep the hose submerged in the overflow and see if you get some bubbles from it when the car is up to temp. Sometimes it doesn't show up at idle but will show up if you bring the rpm's up a bit or blip the throttle.
You can also get a "block test kit" that will test for exhaust gases coming through your coolant.
Air in the coolant lines. You'll hear waterfalls through your heater core when starting up and revving for the first bit. This just means that there is a leak letting air in somewhere in the cooling system though.
Coolant in oil. Check for a chocolate milk colored sludge building up under your oil cap, through your PCV, and up your dipstick tube. If you have a little bit of whitish looking residue under the oil cap that is normal from condensation burning off from within the crank case. Wipe it off, take the car for a good drive, get it warmed up and running for a good 30 - 45 minutes, and it shouldn't be there. Another way to check is let your car sit cold for a few hours (maybe check it after sitting overnight) and crack the drain plug. If you've got coolant in your oil, it will be at the bottom of the pan and it will come out first.
Low compression. Do a compression test, look at the results from cylinder to cylinder. If you find issues, followup with a cylinder leak down test to try and find where you are losing that compression (head gasket isn't the only place that you might lose compression on).
While you've got the plugs pulled, see if any look like they're "washed clean" at all. BHG will let coolant/water in to the combustion chamber and steam clean the insides. If you have a pen light and some good eyes or a borescope (or equivelant...I've heard of people using other...we'll say medical tools), check and see if the pistons look washed or if there's coolant sitting on them.
I'm sure there's more out there, but this gives you a few things to try at the very least.