Ugh. You're caught between a rock and a hard place on this one. If you speed up the video, Warp Stabilizer may not do a great job. If use Warp stabilizer on all the video, you unnecessarily eat up storage.
I propose a test: find a particularly bumpy section of video, speed it up in Premiere, then export the video (no Dynamic Link on this!) to AE & stabilize. If it looks okay, there's your workflow.
Warp Stabilizer isn't at its best when dealing with footage that has had its duration altered; hence the export from Premiere.
I would time compress the footage first grabbing just enough frames to complete your video. Do the rough editing in Premiere.
Say your trip took 10 hours (about the average time for the drive.) Cut out any stops along the way so you have just driving. Do the math and change the length of the video in Premiere. If you are going to take 10 hours to 3 minutes then you won't have to worry about stabilizing anything. There's going to be so many frames removed that it won't make a difference.
This would have been a better project for timelapse. I've done timelapse for about 40 years. As long as the camera stays pointed generally toward the horizon you'll have a good result. Stabilizing for time compression more than 50% is a waste of time so unless you're planning to make a 5 hour film just drop the clips in PPro, cut out the really bad stuff, then drag that sequence into another sequence and grab the right edge of the nested sequence and drag it to the left.
As Rick said, the measures to take will depend on the amount of speedup. If this is going to be some 10 minute video, I'd forego any stabilization - there will be so radicasl and rapid changtes, anyway, any jumping in positions will appear natural. For anything longer, you should do a gut first. Not only will it spare you from stabilizing footage you throw away later, but it's also pretty much a requirement for the warp stabilizer if you want the solution to be reasonably contiguous. If you did this in segments, there would be notable jumps at the edits because the warping is arbitrary for any segment.