Thanks for the input, NWG. It is very helpful. I think my 2:00 and your 11:00 might be the same thing. Basically I try to start with the pedal as close to the highest point (12:00) as possible, after it has come up and past 12:00 and is on the way down again.
I poked around online, looked at the Spry pedals as well as some others, and ultimately decided to order some Race Face Chesters. They get good reviews and are relatively inexpensive, so if I try them and decide I prefer clipless after all I won't be out too much $$. And I was able to get them in orange. 
I would like to try to put them on the bike myself, to save some labor costs at the bike shop. Looking at a few videos, it looks pretty easy, but one thing is not clear. Do I need to put some kind of grease on the threads before I install them, and if so do you know what kind of grease?
Thanks!
- Gray 2010 carbon WSD road bike, Rivet Independence saddle
- Red hardtail 26" aluminum mountain bike, Bontrager Evoke WSD saddle
- Royal blue 2018 aluminum gravel bike, Rivet Pearl saddle
Gone but not forgotten:
- Silver 2003 aluminum road bike
- Two awesome worn out Juliana saddles