I tried a search on Trademe for Suzuki Across and this is what it found? A 250 twin!
Is that what an Across is?
http://www.trademe.co.nz/motors/motorbikes/parts-for-sale/complete-engines/auction-473594906.htm
"We also have a 1995 GSX250F Across engine package- 4
cly,6spd,45hp."
G'Day Hushy, apparently the Kiwi seller can't spell, (or at least, abbreviate) but I think he means it's a 4 cylinder engine, with a 6 speed gearbox, that puts out (arguably) 45 Horsepower. I've seen a pic of Across carbs, they look just like yours.
Getting back to your carb dilemma, there are only a few reasons why they'd be pissing out fuel, as described:
1. Holed floats filling with fuel, allowing float to sink to bottom of float bowl, causing float needle to stay open
2. Floats installed upside down (don't laugh, people do it all the time)
3. Float needle worn out
4. Float needle installed upside down (see item 2)
Right now I can't think of any other reason they'd flood Hushy, but if I do, I'll get back to you. Cheers, Terry.