Jay is right about hard bottom boats in HL CA. I brought my seahawk 4 there and blew it up and all that and then he told me while I was walking it down. So he gave me 2 hours of their rental row boats for free.
Profs Lake I have taken my blow up boat in there twice. This was 2 summers ago and 4 summers. First time I launched from the park on the north side but a girl came up in their powered boat and said just so you know for next time, you have to register.
So, you have to report at the rec centre building that you are putting your boat in and they give you a wrist band or something I can't remember to prove you registered. And I can't remember if I had to pay. You can then launch from their docks. I fished for a couple of hours and got nothing. There are bass in there for sure as evidenced by the numerous people I've seen poaching them and taking them away during spawning season. Also carp and crappie and other panfish.
Technically, you are not supposed to fish at all at profs lake, even from shore. Not sure if that's the case now but in the past they had signs that said No Fishing, yet on their website they had a gallery of people with the fish they caught.
Brampton fishing is mostly shore fishing. Heart Lake you can catch bass and rainbows from shore but it's tough. Loafers Lake has bass and the odd pike and koi and carp and crappie. But again, very slow fishing there. And you could put a small boat in there since there aren't any signs saying you can't. In the 90s they used to rent out paddle boats there.
Mississauga has lake acquitaine where you can put a small boat in fish but the fish are small, including the bass. Always a rare exception though. There can be good bass in there. That's all I can think of for boating in Sauga. Though there is that marina on the lake east of cawthra where the three sisters smoke stack power plant used to be. You can launch there from the beach for free and the water in that bay is calm and clear. But the fishing is apparently crap. I tried it once and others told me there's basically no fish there.
As for fishing within a couple of hours, there's a tonne of lakes but for a very small boat like that can't cut through water like a yak or canoe, you have to be very careful where you go. A big body of water can cause you a major headache with the wind. I got blown across a lake before in my pre motor days and had to walk half hour back to my car and bring it around to where I ended up. You should always check the forecast for wind speed if you're going on even a medium sized lake.
If you pm me I can point you to a couple of lakes close to Brampton suitable to your boat but the fishing is very on and off. I can also tell you everything you need to know about owning and using a boat like that, especially if you do end up getting a motor.