Having had to do this more than a few times, I can give you some tips:
-access via the door under the car (as stated above)
-remove the burnt out bulb, and carefully inspect the connector for damage or corrosion (due to a really stupid design, the bulb comes in to the lens from below, so any water in the lens winds up in the connector at the bottom)
-put some dialectic grease on the connector/base of the bulb to seal out moisture
-carefully inspect the lens for cracks or holes, which would allow in moisture, leading to premature bulb failure
-make sure you don't leave any greasy fingerprints on the bulb, which will cause a hot spot, leading to a premature failure of the bulb
I had to replace both of my turn signal/DRL lenses, due to cracks, which were letting water get in. Since then, I haven't had to replace the bulbs.
edit: just noticed you have a Camaro. I have a Trans Am. So, your DRL/turnsignal bulbs may or may not be the same as mine.
bringing this back...where can i get replacement housings/lenses for my T/A running lights?
I got these, they are much better than the garbage GM made for us. Glass and nice and clear colored. Sealed too, unlike the GM ones, so moisture shouldn't build up inside. Mine have been on for almost 2 years and I've never seen moisture inside. Thats whats going to keep the socket from getting water in them and burning out.
Then you want to get two EL12 flashers...auto parts storee....$12.00. And then buy some LED bulbs that never get hot and should last ALLOT longer than regular bulbs, if not forever. And they look much cooler when they are on and when they blink. ((video below))
Go here. Scroll down till you see this: "NEW" 48 Led Switchback Two Colors - One Bulb "NEW"
Its pretty far down the page....$14.99 each. Get the "Amber-White" 3157
***Its the crazy heat from the reular bulbs that also causes the GM housings (plastic) to crack and get briddle over time, allowing more moisture to get in and look like ****. These should last forever, unless a rock hits it. These LED bulbs have no heat.***
427ci stroker died at 173,000 miles...what a great engine that was, built by the late, great - Dave DiLuca...RIP...
-Life may not be the party we hoped for, but while we're here we might as well DANCE.