Yup, someone here said you'll get all kinds of opinions from one end of the spectrum to another. Here's my two cents having experienced a bad achilles injury while distance running many years ago.

First, achilles injuries are often triggered by calf muscles that lack flexibility. Does that mean you should be aggressively stretching them? My feeling is that stretching while you're hurt is probably not a very good idea. My bike club had a free session from a local PT clinic a couple of years ago. Their number one recommendation: never, ever, never stretch cold muscles. If you're going to do calf stretches, toe raises and heel drops, make sure you've warmed up first. One stretch you can do is to hang your heels off a step or a curb. Do this as a static stretch (i.e. don't push your heel down quickly). Lower it into position and hold it there. My bottom line is don't stretch until you're completely pain free. Try some light calf muscle massage instead.

Second, my podiatrist told me never to walk barefoot. I ignore that, of course, but it's a good idea while your achilles is hurting. Shoes or sneakers provide needed support. He recommended orthotics which actually made things worse. Also, achilles pain is usually worst in the morning. Take a little time to warm up gently when you first get out of bed. Nice, slow walking might be a good way to start the day.

Third, putting lifts in your shoes under your heels (both feet for symmetry) can take pressure off the achilles while you walk but also can shorten the muscle tendon unit if you do it for too long. It's probably fine for a week or two but maybe not a good longterm solution.

Fourth, consider heat and/or ice. This seems to have become increasingly controversial but give both a try to see if it helps. If you ice, stay off your feet until you warm up.

Fifth, the GERD business is really important. Stay away from all the NSAIDs. They'll make you suffer. Tylenol is moderately helpful. You can also try some rub on creams like Salonpas which I find very helpful for local pain relief. They also make patches which I haven't tried.

Sixth, while riding, uphills and speed are probably not great ideas for recovery. The problem is that your training prescription conflicts with your recovery prescription. Take a hint from that.

The bottom line here, upcoming travel notwithstanding, is that full achilles tears are serious business. It's really important to avoid making your injury worse. We can't know the full extent of your injury but, as a guiding principle, a sensible amount of rest and very light exercise is probably the best prescription. Best of luck with your recovery.