I would also recommend the SIG Romeo 5. The MOTAC motion-detection, instant-on feature works very well and turns the optic back on at the last intensity setting so you don't have to dial the intensity back up. The Romeo 5 comes with riser mounts of two different heights. For the 10/22 you would want the low riser which will give just about the same mounting height as a Bushnell TRS-25. I think you will also find the dot on the Romeo 5 to be a bit crisper than that of the TRS-25, especially at higher intensity settings, and it is a bit smaller at 2 MOA whereas the Bushnell is more like 3-4 MOA.
Holosun makes some very good red dot sights that have the motion detection feature and are very similar. In fact, many say that Holosun makes the Romeo sight for SIG, or that the same manufacturer produces sights for both Holosun and SIG. But I have never been able to find comparable Holosun models at as low a price as the SIG Romeo 5. Holosun also makes a solar-powered RDS that is very similar in size, but significantly more expensive, that also has the "shake-awake" feature, the HS403C. I have never used one so I don't know how much ambient light there has to be for that unit to not consume any battery power.