The second chamber is very important.
It should act as a safety net so bad ideas are chucked out before they are made law.
The idea to go to one chamber with a shortened period for Parliament before reselections just isn't workable, in my opinion.
It means bad ideas can still be forced through Parliament by the majority party even with the shortened time limit for sitting MPs.
I think the question here is to how to change the second chamber to make it more democratically electable.
Of course, this has its problems as well.
Originally in America, when they were sorting out their Constitution after the War of Independence, they completely ripped off the ideas of John Locke in setting up their Government. They, however, made a few changes by making the second chamber electable.
This has been shown, with the Government shutdowns in America, not really to be a viable idea. Seems it would make paralysis to both chambers in making laws, a lot more easier.
I think the solution here may be not to let people sit in the second chamber who are in the same political party's as the first chamber.
Lots of different ideas here.
Bicameralism - Wikipedia