The best way to set up the experiment is with Drafts and Experiments (testing bid strategies is exactly what it was designed for).
Both strategies perform better when not limited by budget – in fact both somewhat break when limited by budget, ie the logic behind them is designed on not being limited by budget.
In terms of targets, you should start both out with similar targets to what you’re getting currently (NOT what your eventual goal is) and then incrementally move the targets to what you want them to be (~10% every 2 weeks or so, depending on how much traffic you get). This is because the bidding strategy wants to use your current data as a starting point, so if you tell it to try to get a ROAS double what you’re currently achieving it has no idea how to do that.