Andy,
Try the following.
1. Turn on the grid and activate 'Snap to grid'. (The shortcut ALT+G will do this.)
2. Drag the right end of the wav track until it snaps to the nearest beat. (Let's say it's beat 1 for reference purposes.)
3. Change Reaper's tempo to 170.
4. Now hold down CTRL+ALT and move the cursor around the right end of the wav. The cursor will change to a hand. When that happens, grab the right end of the track and drag it to the left (since you've made the tempo faster) until it snaps to the new beat 1 in the same bar number as before.
5. Lastly, in the 'Project settings' make sure that the 'Default pitch shift mode' is set to 'elastique 3.1.4 Pro'. (I find this a good stretching/shrinking engine.)
That should do the job for you.
Regards,
Noel