I don't think that a
powerhead is NEEDED, but a powerhead with a venturi does add aeration wich is not bad (you can also get aeration from a pump and air stone) ... plus you can add a filter to most powerheads which will give you additional filtration which is always a bonus.
If you have some cash to spend, I say get one that is able to give you aeration and filtration. I spent $75 for mine in Canada (rated for 70 gallons) ... so you should be around $50 or so.
I would also give your cory a few friends ... he/she will be much happier.
Enjoy!
Moe