Leaving aside the need for some kind of cleanable trap to prevent sewer
gasses leaking out, the answer is "it depends".
If the rain water from your main house already empties into the main sewer
then it is probably O.K. to use the main sewer - but this is at the
discretion of your local water authority.
If your main house drains into a separate storm water drain one or more
soakaways then they are unlikely to permit you to use the main sewer.
However you could always ask.
A water butt seems to me to be only delaying the problem.
Once it has filled up then you will get exactly the same volume of water
off the roof wanting to go to exactly the same place.
Fixing or replacing the soakaway is probably your best bet (but see above).
Oh, and on the subject of traps - normally a waste water trap outside is
sunk into the ground and connected to the drain underground. Sinks and the
like have a U bend trap fitted underneath then a direct connection to the
soil pipe pipe (inside or out).
I am trying to find a reason not to fit a trap half way up the garage wall
so that your gutter drains into it but you can still connect to the soil
stack above the ground. As long as it is in a place where you can service
it easily.
Cheers
Dave R
--
Windows 8.1 on PCSpecialist box