I overseeded with Rye as well. I make a switch in the fall from Bermuda and lots of summer annuals to Rye and a lot of pansies, viola and snapdragons. I just can't stand a dead looking landscape for several months.
I've found that in Spring that if you wait to see Bermuda coming back near your house, let the rye get a little longer than normal and then scalp the c*** out of it the rye seems to really weaken and the bermuda comes back while it recovers. I keep my Bermuda at a height of less than a half inch until the 100 degree weather hits and it has gotten so thick that once it comes back, it chokes other grasses and weeds out pretty effectively.
I understand the argument against it - and you do have a few weeks of splotchy 'interim' lawn in the spring but for me at least, having that deep, dark green all winter is worth the extra effort.... OK, and I enjoy cutting the grass
Nothin quite like fresh ryegrass clippings to throw a blowtorch into the compost bin and finish it off come Spring.