I'm tempted to endorse, in all seriousness, Mad Jock and Lister Noble's suggestions about spinning in a glider...
And lister go and do some spinning in a glider its whole heap slower but they are mad bastards and do it bloody close to the ground and through clouds.
Glider ,great idea,I had a lesson last year at, Tibbenham which is half a mile for our airstrip and really enjoyed it.
... noting, though, that most of us aren't as mad as MJ suggests!
Until I'd spun a glider properly, and despite all the incipient spin training, I was always somewhat apprehensive of low-speed flight. No bad thing, perhaps, but it was a nagging niggle that I was much happier without. What counted for me was to do the full spinning exercises in an aircraft that positively required my recovery - most recent gliders will barely spin at all and recover more or less by themselves. So there was nothing over-ambitious or gung-ho about this; rather the opposite, and it made me a much happier pilot. Of course, it can also whet your appetite, and I subsequently enjoyed a happy summer of incompetent dual aeros while we had access to a suitable aircraft!
Spin training is a more regular part of training in gliding than in light aviation, so finding a club and instructors that can take you through the very well developed syllabus (including examples of 'non-aerobatic' entries) shouldn't be hard. My advice would be to find a club that can aerotow you to 4000' in an aircraft that will spin properly (the Puchacz is excellent). Gliders have more inertia in roll, so spinning isn't as rapid/violent as in light aircraft, though the idea's the same.
Oh, and definitely fly on a full stomach. I wouldn't necessarily go for a greasy full English, but a belly comfortably full of something settling definitely helps me!
Windrusher