Can't talk about the accelero, but the Trad without a fan takes up little more space than the OEM cooler.
[excuse the circled ramsink - the pics was to show how I couldn't get a regular ramsink to fit that one module]
However, you can see from that pic that while the heatstink itself fits within the profile of the second 'slot' that originally housed the OEM cooler, the 120mm fan takes up a further 25-ish mm. That's what makes it 3-ish PCI slots.
Bear in mind that the new cooler will
replace the stock cooler - so it won't take up five slots, it will take up three - one for the card, two for the cooler and fan. So you'll have seven slots, minus three for the GPU, minus one for the soundcard = three spare slots - I expect the accelero would be similar.
It's also slightly larger than the card itself:
It extends a few mm above the top of the card - but I expect the Antec 300 has space for that, and the 120mm fan, it's a bit bigger than my Coolermaster 335, I think. You can put 2x92mm fans on it if you'd rather, by the way - you can see the screwholes for mounting them in the above pic, they would seem to fit within the radiators area nicely.
And yes, I know that picture shows the GPU with the NF-S12 fan -I put the NF-P12 on a few weeks later.
I know that's not an accelero, but hopefully it will give you an idea of what's involved
