Greetings:
I have 2 vehicles with the 6L engine. One is my 2010 Chev (Roadtrek 210P) and the other is a 2007 Corvette. The engines are only slightly different with the Corvette being the all aluminum high performance version.
General Motors spends millions of dollars on R&D.
I would recommend that you do not try to re-invent the wheel so to speak and stick with their findings.
5/30 is likely what was recommended for your RT. Confirm it with your Owner's Manual and stick with it.
As far as oil goes I buy my oil when it goes on sale and I stick with
Mobil One 5/30 Dexos Synthetic. In fact my Corvette engine was built using that very same oil from day one at the factory.
Another one to perhaps consider is the synthetic one from
Costco with their branding. It is made by an American Refinery who makes oils for many other companies and has a good reputation. We use that in our Daily Driver. You can do your own research.
As far as oil change intervals go I try to stick with 3-5,000 mile changes on the Road Trek and our Daily Driver. In the Corvette we do them at about 3,000 miles.
Depending on how it was used on the trip with high heat, dirty dusty roads or lots of mountainous climbs I try to do it a little sooner. TIP: Don't let it sit for long periods with used dirty oil, that can be tough on the bearings.
When its on sale it is very affordable and it keeps you bearings/rings etc as clean & properly lubricated as can be. Others including oil manufacturers say you can stretch it out a lot farther mileage wise, its up to you.
For Oil Filters; I would recommend you use the Factory GM/AC Delco brand or if you can not find that then use WIX.
A few years ago WIX were rated as the highest most reliable brand other than the OEM brands, I suspect it may still be the same. I use them all the time. Here in Canada the NAPA Gold Filters are made by WIX. You can check your local NAPA store to see if thats true in your region as well.
If you want to learn more;
Check out the web for
"Bob the Oil Guy."
A more current, knowledgable and well done one is on a You Tube series called
"The Oil Geek." He will help you understand the science and how to make an engine last longer etc.
All the best & safe travels!