Actually, Bluebird, your 1:3 transformer might be just the thing to interface a hot mic to your soundcard input.
Suppose your soundcard has an input Z of 10K. (This is a reasonable assumption). This will reflect to your mic as 1.1K, which should be high enough to make it happy. And you get 9.5dB of gain from the transformer. A reasonably high-output mic close to a drumkit can peak out near 0dBU, so this should be plenty of signal to drive your soundcard, especially if it's capable of working with so-called "-10" consumer input sources.
There is one problem with the inline transformer I mentioned earlier. I went and did a reality check just now and found that they seem to be rated for 250:50K. This means a 1:14 turns ratio. So, that's 23dB of stepup right there, possibly too hot for your soundcard (or maybe not... it depends). However, if your soundcard input impedance is 10K, this is reflected to the mic as a miniscule 50 ohms(!). No good.
The inline jobbies do a good job, however, working into a very high-Z input such as a tube grid, such as the high-Z mic inputs on old tube tape recorders. Matter of fact, those inlines were sold originally for the very purpose of interfacing low-Z "professional" mics to such devices.