Thanks to all who responded. I am a relatively new ham and always get a nice education when I post here.
There appear to be three solutions to this problem:
1. Develop the amazing operating skills of the Youtube ninjas, whose 5w CQs are always answered, often resulting in a pileup
2. Spend almost as much as my radio cost to get a suitable amp and have another bag of crap to drag along, more batteries, and yet another set of wires dangling like spaghetti
3. Buy a used HF 100w radio as my "outdoors" radio
Number 1 is fantasy outside of band openings. #2 is out of the question, not because of the $$$ but I already carry way too much crap when I'm portable. #3 is the only sensible option, IMO. One radio, one battery, one antenna.
Too bad I just sold my IC-7100.