I'd think you could find a way to strap it down securely. Just make sure you tie down the transom too, if you don't normally do this.
If a trailer is built correctly, the bunks should be pretty much right on the other side of the hull from the stringers. I'd check to make sure they're somewhere in the neighborhood of one another. I think those hulls have a pretty similar deadrise angle in the area of the stringers, so it should lay pretty flat against the bunks, but check that too.
One more thing to consider is the tongue weight. The axles are located on a trailer to produce a certain tongue weight with a particular boat. You may end up with too much tongue weight due to the 2001 being shorter and a DD, but you could just place the boat further back on the trailer to compensate. If your tongue weight is off by too much, it'll fishtail at higher speeds.
If it were me, I'd take my time loading it on the trailer, check everything over very thoroughly before leaving the ramp, tie it down from about 5 places, and drive very carefully directly to the destination and unload it immediately