Yes, it might not be the most ambitious approach that I would take, but I think if your committee were to table its recommendations based on what it has reviewed here and to give perhaps an initial path forward as to what next steps Parliament may wish to consider in the next iteration, that would still form the basis of a study on record, looking at the facts—the pros and cons of this idea—and then putting it into play so it could be picked up by the next Parliament to move forward with....
In that report, you might want to take some of what this committee considers to be the highlights, or what you consider to be the advantageous aspects of a parallel chamber.
But if you were to go forward, also give some thought to what that path of development might look like. Is it a separate committee? Is it a subcommittee of this one? However, agreeably, your work is very busy. You have a lot on your table. It might not be ideal for this committee to do. But that's the way I would see it.
I agree with your latter suggestion around getting that documented evidence summarized and reported to the House, but beyond that I don't see creating a pilot project by the end of this Parliament. There are a few other things going on between now and June, and it might just get lost in the matters pending.