I did some more experimenting with higher reps in the gym today. Honestly, it didn't feel like the workout was doing enough, so I threw in one heavy set of 5 reps. A mix of high and lower reps, pyramding up to one heavy set might be a solution. This is similar to Art Devany's hierarcial routine that Dave mentioned.
Another program I have been looking into is the Westside "Skinny Bastard" program (you've got to love the name). On each training day, you work up to one max set of 3 - 5 reps for a compound movement. The rest of the workout has higher reps on supplemental exercises for hypertrophy.
A different option is John Berardi's power and strength program. Here you are doing low-rep strength work on some days and higher-rep hypertrophy on others. This calls for more frequent training, but I would rather just mix the strength and hypertrophy in the same workout, rather than spreading it out over separate days.
For now, I will work up to one peak set of 5 reps, instead of the 3 x 5 that "Starting Strength" calls for. Hopefully, this will do enough to increase strength without wearing me down. I'll continue to tinker with things, but I feel like I'm getting closer.
