There is nothing wrong with using EP or HM oils. You'll still have to change the oil when recommended, and check/topoff as needed, and often.
I'd take HTHS, zddp, or both, over the recommended grade.
Your engine isn't going to care if its a 0w30, 5w30, 10w30, 0w40, or 5w40....
Stick with synthetic oil, but there is nothing wrong with the 10w30 HDEO blends.
Your engine isn't going to care about the brand of oil either. So, don't practice brand fanboism!
Since the thread starter is in Colorado, and area is known for some skiing, snow, mountains, weed.... I'd use a 5w30. BriggsStratton has a 5w30 synthetic that you could consider. Honda has a 10w30 synthetic too. VPracing has their small engine sae30/10w30
100% Synthetic SAE 5W-30 for use In all air cooled 4-cycle engines. 32 Oz. bottle. SAE 5W-30 Synthetic Engine Oil 32 oz. bottle Formulated for air cooled, 4 cycle engines in outdoor power equipment For use in all air-cooled 4-cycle engines Warranty approved for Briggs & Stratton® engines...
shop.briggsandstratton.com
Ultimate Full-Synthetic
prohondaoils.com
VP SAE 30/10W-30 synthetic 4 cycle engine oil delivers superior thermal resistance, protection, & lubrication for small engines in portable outdoor equipment.
vpracingfuels.com
Some common oils available at most of the stores:
https://www.oreillyauto.com/detail/...vy-duty-motor-oil-0w-40-1-gallon/she2/syn0401
Any of the oils should work fine in most vehicles too. So, you don't have to store leftover small engine oil indefinitely. Just top off the cars with it too.