Well from the first few pages of this thread, the purpose of having it in a bucket (covered with no light) is to prevent algae growth within the RDSB. If you were to have a normal DSB in a fuge with chaeto, you would need to have a light on it which would cause algae growth. Furthermore, by having it in a bucket, you can easily take it offline, switch it out for a new RDSB after a few years, place it virtually anywhere you have room for it, etc..
looking at the big picture though,a DSB is a DSB, and the results will essentially be the same: (with some variation due to flow, bioload, size, etc.) lower nitrates.
I chose to go your route steve, and I have a 29 gallon fuge which I partitioned off in the middle, with a 12" deep sand bed on one side, and chaeto growing in the other. the water has to flow over the DSB to exit the fuge, and I keep a piece of opaque acrylic over the sand bed portion to minimize algae build up in that section. my DSB is 15" x 11.5" by 12" deep. this is actuallly a larger surface area than a bucket would provide, which is one advantage over the bucket.