From the reviews that I’ve seen, this has been adjusted in the new versions so as it’s easier to swipe up from the bottom.
Having said that, there is also a 3 key combination that you can press to bring up the dock. Perhaps you can confirm the correct combination, but I think it’s CMD-Control-D (or Alt-Control-D). That should help you out with your 10.5” Brydge.
Pressing the home button once will close an app, double pressing it brings up the open apps, but the dock can be raised with the 3 key combination.