The resevoir is an overflow resevoir. It's not under pressure like some cars. The cap should not blow off. There is a drip hose on it so it's not even sealed. If you overfill the coolant to the point that it fills up the overflow resevoir it should just drip to the ground. I believe you meant to say your radiator cap was blown off.
Are you entirely sure the car is running perfectly fine without the A/C on? Also, are you sure your fans are working properly?
You said both fans are coming on at high speed. The fan on the driver's side is the cooling fan. It kicks on around 210 degrees and kicks off once it cools down to 190 or so. It also kicks on with the A/C. The fan on the passenger side is the condenser fan. It will kick on anytime the A/C compressor is engaged. The A/C will cycle on an off, so the fans will cycle on and off as well.
If you reach 235 the condenser fan will kick on to help out with or without the A/C on.
After replacing the thermostat, do you now feel pressure build in the top radiator hose? This is crucial. With the car cold, start the engine then just squeeze the upper radiator hose. You should feel it fill up with coolant as the tstat opens up around 180 degrees.
If coolant is flowing, it is either your fans or the radiator itself. Make sure both your condenser and radiator are not blocked by something. I once had a trash bag cover a part of my radiator and that was enough to send the temps soaring.