Sorry guy, I didn't mean to shock you too much. I don't think the sweep is C-to-C's evil brother or anything. I've been boating for 15 years and I will still pull it out on occasion when I'm on a funky eddy line or in extremely aerated water. I just think that it a better habit to come up on the front of your boat. Quixote is correct in saying that it is best to do what gets you upright ASAP for now, but as you get more comfortable with your roll, try coming up on the front. I would actually call my roll more of a front sweep roll than a C-to-C
What you're describing is a high brace. With a high brace you end up on the back deck. With a low brace you end up leaning towards your bow (using the back of your paddle to brace off the water). You'll need to learn both, as they both have there time and places.
I would like to add one minor technicality at the risk of confusing good old heliodorus. High brace is defined as elbow down using power face of blade. Low brace is elbow up using the back of blade. Neither one is unique to a certain position on your boat. i.e. a high brace can also be done in the forward position.
I point this out because a high brace placed near the front of the boat can be feathered into a forward stoke making a nice fluid motion, conserving momentum. Just one more mutation of the very dynamic forward stroke. Every stoke should have a purpose and should set your up for the next stroke. Think about the future as well as the now. Wasted strokes are wasted energy and time. Everything should be one fluid motion. This is all probably way to much theory for now but keep this stuff in the back of your mind for down the road when you want to fine tune your technique. If this confuses you, forget I said anything and just go have fun.