Cockeyed, you're in the same boat as me with a very low hashrate (I run at about 4kh/s). You're right in thinking that this is the reason for the breaks in payments that you're experiencing, as I experience a similar thing. At the current share difficulty of the pool of 0.0588, you're only likely to hit roughly one share a day at 3kh/s...in fact looking at your daily speed graph at
http://treasurequarry.com:9844/static/graphs.html?Day, your average today is about 2.39kh/s , with a current rate as I'm writing this of about 1kh/s so it could be even longer than that between shares. You're probably doing the right thing by giving it a week or two of mining to see how things turn out, because with a low hashrate you will end up with some variance, so you'll need this type of longer term period of mining to give you a better overall averagey picture of everything.
Spoetnik, good to know that those transactions arrived after updating your wallet - I bet that was nice to see all those lovely Infinitecoins flooding in.
BitCoinPokerBro, Great to hear you're enjoying mining at TreasureQuarry
What you've mentioned about ease of mining is one of things I love about P2Pool - you can just start immediately with no need for signing up or anything, and the transactions will go straight to your wallet once you've started to find shares....no risk of leaving your earnings in an online pool wallet. Your experiences with breaks in payouts for an hour or 2 every now and then may be a less severe version of Cockeyed's situation - even with a your hashrate of 240 to 290 kh/s that you mentioned previously it's possible that there may be unlucky times when you don't find a share for a good while (maybe when there is a high overall hashrate on the pool and therefore a high difficulty), and the payouts that you've been getting use up all of the share credit that you've built up. If you want me to look into anything in a bit more detail now or at any time, please feel free to give me your Infinitecoin address that you're using to mine at the Quarry and I'll be happy to delve a bit more.