As Daryl said, the extra force of a .22 will always be better in getting a instant kill, which many say is the only way to hunt live creatures. As well, air guns that shoot at greater than 500 fps will also assist in giving you a quick kill.
Since you asked about over/under 500 fps, would expect you have your PAL.
Although the Sig MCX claims around 700 fps with a .177 pellet, many reports say it comes in at a lot less in real world conditions. That said, with an 88/90 gm. CO2, you will have more than 300 good shots to wipe out a lot the rats. Get extra 30 shot magazines, and practice quick mag swaps, and you are ready for an afternoon of rat control.
I have the MPX version and find it has nice accuracy at 25 ft. in my basement range with just open sights. So the MCX with the longer barrel should be more accurate. And you can always add optics to the rails for better accuracy. I do not have any issues with CO2 leaking with either the 88/90 gm CO2, or the specially designed 12 gm. CO2 adapter.
Two cautions, before you start pesting. Make sure sure you sight your gun in, at the distance you plan on shooting at. And make sure you use a short enough hunting pellet, so that it does not jam the pellet feeding belt. Maybe Crosman Destroyers?
If you like the Sig MCX platform but want it in .22 cal & higher fps, the new Sig Sauer Virtus .22 cal. MCX is suppose to be out very soon.
https://www.airgunsource.ca/us/sig-saue ... rifle.htmlOther semi auto air rifles that might work for you are, the new Umarex 850 M2 .22 cal, CO2 semi auto air rifle, which is an update of the older Umarex Hammerli 850 .22 CO2 air rifle
https://www.airgunsource.ca/us/ux-850-m ... l-co2.htmlhttps://dlairgun.com/collections/hammer ... 1486148668Then there is this, a full auto .22 cal air machine gun, but not sure where to get it, even though they say it is legal in Canada.
https://www.youtube.com/watch?v=H2q0Rsvh-HoOn a more economical route there is the Crosman 1077 & Umarex Ruger 1022, .177 cal. semi auto CO2 pellet rifles. The PAL versions should have enough power to safely kill a rat at distance. These can be bought for around $150 or less, and use the less expensive 12 gm. CO2.
Good luck & happy hunting.