I used a cheffy torch for years (bought it for creme brulee) before it died - you should be fine with that. I use its replacement for little things like jumprings still, all the time.
Do get a soldering block, though - they're definitely cheaper than a new torch. The third hand will be taking a lot of your heat, and that might be the problem, plus it's a lot easier (or so I find, anyway) to do the jump rings flat.
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