You might want to check out the BAL Single Axle Tire Chock. Since it locks onto the tire, it can't blow away. I have one and it works great. The tire can't easily roll when this is locked into place although with enough force, even it can be moved some. One for each side would be a lot stronger than using the cheap plastic chocks that don't grip worth beans.

We have a large wedding tent (60' x 120') at the golf course that has been destroyed a couple times by winds clocked at 60 - 70 mph winds.  Our only way to keep the 4' stakes from popping out of the ground was to pour 2' x 2' concrete pads under ground and then attack our 4" nylon ratchet straps to the hooks on top of the concrete pads.  Quite extreme but not much else we could do under the circumstances.  On top of a hill not far off Lake Michigan and next to Torch Lake.  Since having this set up only minor damage incurred under similar circumstances.  Hope we never get winds like you all are talking about, we are quite fortunate here.

They screw into the ground, put one on each corner then use ratchet straps to attach to the frame of the 'pod.  If you even change the location of the pod you can un-screw and re-use. 

We get 60 mph winds frequently and I've never seen any movement then (60 mph wind pressures are only 36% of 100 mph ones, the pressure goes with the square of the wind speed) so I'm a little surprised that the trailer would move under only 60 mph. In places like ridge tops and escarpments you do get speed up and the wind pressure can be 2 or 3 x what it is on open flat ground.  

Facing into the wind only works if its always from the same direction, things like hurricanes, tornadoes, and t-storms are not like that, but it would help for the Santa Anas. Keeping more weight in the trailer would help too.