There are a couple of ways to be able to do that. The simplest is the Entangle power. It can take many different forms, and in this case, it would be that you are surrounding your target with ice, trapping them. But it can be broken out of, depending on how strong the Entangle is compared to how strong the target is. Another way is to Transform them into an ice statue. That is more expensive to buy, and quite a bit nastier to your victim.
I think entangle then would fit more along the comic style theme. Like freezing their weapon, or feet to the ground. Or in case them in ice.
But then if I ever get serious I could transform them into an ice statue. However. As a hero I think bringing in people alive would be more there thing.
Could probably do some ice suit themed other stuff too. Like a jet pack, special boots, and increased strength and durability and other goodies.
I was also considering in the concept of an alien bounty hunter that crash landed on earth and is working now as a super hero. That would also be more tech centric. With stealth and traps and guns and stuff.
I don't freeze people. I just blast them with my laser beams.
I think you are just jealous cause my beams are not a one-trick pony. I can blast and freeze. Attack, utility, and defense.
And I might even use Arnold-tier ice puns if I think you deserve it.