Carb problems again ?

If it works better with a little bit of choke, that sounds like there is an air leak somewhere. If you can get the engine to tick-over, get some spray WD-40 and carefully spray around all the connections to see if any is drawn in.

 

If a bit of choke helps, then it is running weak at the bottom end, so a carb/head interface air leak seems likely, as per the above post by Dave, thebiglad (ex Bonneville owner)! Engine revs increasing with the application of WD-40 will confirm this. Or not!

 

Agree with steve and Dave - (Now officially "the well known ex Bonneville owner!")

 

Feel your pain La Roca! Dealers or Ivan at National Triumph Wolverhampton may help with info for you on carb change.

 

I don't know for sure but I don't think that the carbs were changed between 2004 and 2007, so they should fit.
Trying to recall any carb problems I had with my 2004 T100 - The bike never displayed the exact symptoms you describe but once started to run very rough in the mid range with a consequent loss of power. This turned out to be the rubber diaphragms, which were worn, had lost their shape and elasticity and so were not working properly. Replaced them with new ones and it was like having a new bike.
This may not be your problem but it's all I can think of. It might be worth taking the top off one carb and having a look. If the diaphragm looks a bit wrinkled then it should be changed. Also check that it is seated properly around the top edge of the carb body.

 

Blimey your like 5 miles tops from Shifnal! Will do if I ever sort my 1000 out. Now starts fine & runs fine...but .....today I had to swear at it again! Have a smoko swore again then just closed the bloody garage doors!!! LOL. Today it decided not to kick the fan in while she was merrily ticking over. So tomorrow it check fuse wiring & thermostat etc lol. I wonder what will be next........