Last night, we picked up a couple of inner tubes on the way home. Later, back in the garage, I popped my front wheel off, coaxed its tire from the rim, and swapped out the tube after checking the new one to make sure it would hold air. With the application of a little finesse — initially, I forgot to adjust the height of the little nuts on the stem, leaving an insufficient amount of the stem exposed for the pump head, so I levered the tire off until I had enough play to adjust it — I was able to pump both tires up to their appropriate running pressure of 105 PSI.
I also discovered a nifty little lever on my brakes that adjusts the width of the space between the brake pads. Not only will it allow you to pop the wheel off without having to actually finagle the brake manually (provided the tire is deflated), but I think it could probably be used to adjust the brakes accordingly if you happened to pop on a wider set of rims. Not that Quicksilver's clearances are going to allow anything all that much wider than what's on there at the moment, but it's handy to know.
I might resort to using the Presta-to-Schrader adapter for the time being and purchase a dedicated Presta pump. Time will tell. I'm just happy to have a working road bike again.