If I read this right, your question is: Will an AC speed control intended for a router, work to control the temperature in a length of nichrome wire?
I think the answer is, probably. Most speed controllers work by cutting the duty cycle of the AC, which effectively reduces the average voltage. I wonder though, if the speed control will go as low as you need it to, while still giving a good control of the temperature.
Since you figure you only need about 30V, I'd put an ordinary incandescent light bulb in series with the wire, then run that off the speed control.
Finally, you do realize that you will have a very dangerous set up there, right?