Yeah my trainer sounds similar to QuilterinVA's. She is big about a small snack 45 mins before a workout with her, and protein shortly after a workout - of course we're strength training during those workouts too. But in general I find that higher protein snacks really make me feel satisfied too. It can depend on what you are doing though. If I eat an hour or less before I do any running, I tend to get side stitches but otherwise no problems.
Post workout I often do a smoothie which I find super filling because it's not only high protein but it takes me a while to drink. I do one scoop of protein powder (mine is Gold Standard Vanilla Ice Cream - it's 3 pp for one scoop or 1 pp - I think - for 1/2 scoop, I started w/ a half scoop but I use a full scoop all the time now), then either 1/2 1% milk and 1/2 plain greek yogurt (1 pp + 1 pp = 2 pp) or 1 cup of unsweetened vanilla almond milk (1 pp). Sometimes I have it just like that sometimes I throw in one half-cup serving of fresh/frozen fruit I have around, as well as spinach when it's on hand. I have a hand blender
http://www.amazon.com/Cuisinart-CSB-...dp/B000EGA6QI/ (it was cheaper when I bought it 2 1/2 years ago but still not a bad price and it's still going strong) and it sometimes can have a problem with really big chunks of frozen fruit/spinach but otherwise churns through everything, incl ice cubes, like a champ.
I tend to adjust my points a little for the rest of my day to work around the pre and post workout snacks when I have them, but if I end up needing to dip into the weeklies a little on those days (1-2 points at most on average for me anyway), it doesn't bother me. The important thing is just staying on top of the hunger, planning it into your day, because when you let yourself get super hungry and you don't have a plan of attack, that can quickly turn into food choices that aren't so great.