I belong to bikeforums.net and there are always discussions in the Clydes / Athena's forum about wheels.

Here is one such discussion:

http://www.bikeforums.net/showthread.php/792140-Will-the-stock-wheels-on-a-2011-Synapse-Carbon-6-be-OK-under-my-250lb-body?highlight=Wheels

I had a similar problem with my bike. The roads in my area are really bad with lots of potholes. I have since learned that if you buy your bike off the shelf, i.e. No customisation etc. Then you will usually just get the standard wheel that is normally factory built. I missed a trick by not asking the shop to check the spokes for the proper tension, which may be the route of your woes. That said, I would suggest that you go back to your bike shop and ask them to rebuild the same wheel (unless your rim is bent) with a fresh set of spokes. This would effectively be a custom build, but re-using the parts that you already own. I suggest a fresh set of spokes, because the ones you have, will already have undergone greater stress as a result of your existing spokes popping. If you just replace spoke as they pop then then you are just delaying the inevitable re-build (as the remaining spokes are more likely to pop). If you still get problems, then like me, I would suggest getting a hub with a greater number of spokes. Most 'off the shelf' bikes will come with 36 spokes, but you should be able to get a 38 spoke wheel built easy enough. If you want to go for a 40 spoke hub or more then you may have to get a specialist hub. I have had a 38 spoke wheel built and my LBS did not charge for labour because I bought a new hub and rim for it. I have also had my 36 spoke wheel re-built as a back up in case the other has to go back in the shop, but to date (approx 2 months) I have not needed to use it.

A few final points...
Just because you get an expensive bike, it does not mean that the wheel has been built to a high standard.
Bikes are generally marketed at cyclists that don't weigh as much as you or I, and therefore the weight of the bike is a key factor for marketing, less spokes = less weight = a faster bike = a more unreliable bike for the big guys.
Potholes in roads and going up and down kerbs can actually be more demanding for a bike than a dirt track (don't want to offend any dirt bike riders out there but I am talking about the average 200lb plus rider here, just to keep it in perspective).

Hope you found this useful.

Coming to the party late (as usual !) and I'm glad you've got sorted - personally, I've destroyed a pair of the 105 level factory wheels (not actually 105 hubs, but the bladed straight pull spoke ones) when I was heavier (around 380/390lb!) - strangely enough, not by breaking spokes, but by ripping the hub to bits... The spoke actually fractured the hub slot, and pulled out!! Took 'em back to LBS, and they did a no-messing about refund, then recommended a pair of Fulcrum Racing 5's. They've done maybe 13,500 miles now, never broken a spoke, though a couple have come loose and needed re-truing. They're now pretty much knackered though - rims are worn to the wear indicators on the braking surface at the front, and the rear has a couple of small cracks appearing in the rim around 2-3 of the spoke holes. Shame really, as the hubs are pretty much pristine, smooth as a freshly greased guillimot. I've a pair of Ultegra factor wheels sat ready to fit, as summer wheels, once the monsoon season ends.

I'll be in the market for some winter hack wheels soon enough though, and I'm thinking that this time I'm going to go for a build-job rather than factory... Probably a pair of Mavic Open Pro-CD's 32h front 36h rear and a pair of Hope Hubs I reckon. Being MTB derived road hubs, they're really well sealed for winter use, and cartridge bearings which I can stick ceramic cartridges in when they DO wear!.

I have Velocity Deep V's 36 spoke double butted

Handbuilts, with a 36H rear hub. If you ping a spoke on a 36 spoke wheel it isn't ride over, assuming you can adjust the adjacent spokes to compensate. This happened to me last summer and I rode another 60+ miles on it, after tweaking the spokes next door. Anything less than 36H and it's game over, imho.

I have fulcrum racing 5's, seem really sturdy to me. No broken spokes either. I am 235 approx. fyi

Agree on the grouped spokes, I haven't even seen Campagnolo branded wheels around here in a long time. I do have one from the 90's on my old road bike. Maybe because I live in Canada, not as common.