The Corsa 5.0 (.30 cu/in) will fit right in to the TR. Definitely tell us how it works out and how it runs! I heard that there are some CT5s with SH .28s, but I don't think they will fit right in. I don't have a CT5, but I'm pretty sure it uses a small block.
Since you already have the motor, just see if it will fit...that's the fastest and easiest "yes or no" answer. If it doesn't, I think you will have to get some mounting parts for a big block, probably the same from the Arena. Some chassis modification might be needed as well.
Good luck dude!