I noticed the same kind of thing with the Humidi-Paks in my guitars during a recent trip back into Texas: they'd been in the cases for [literally] months and didn't seem as if they'd dried out at all.
Consulting my hygrometer, I noted that the air inside my house was being measured at ~70% RH. With all the rain Texas has gotten lately, I'm not a bit surprised. To make the matter worse (from a moisture standpoint), the A/C clearly hasn't been running much during this period; the outside temperatures have hardly gotten above 80 degrees F -- event during the day -- due to the frequent overcast conditions. When I bumped the A/C on, the humidity level inside the house began to decline, and for the short period I was in town (~1-2 days) it got down around 60% RH. If I'd have stayed longer, it probably would have gotten much closer to ideal (~50% RH).
Any decent central A/C system will be very good at removing moisture from the air; that's going to be the best place for you to start -- get the overall moisture content of the air inside the house as low as possible. Having never used them or researched it, I'm not sure how much moisture a room-size dehumidifier can remove; I suspect they're designed to augment the moisture removal provided by a central A/C system, though.
Regarding the Humidi-Paks themselves: I think your approach is valid; using dried-out packs should be effective in absorbing excess moisture. As for the best method of drying them out during this season of the year: that's going to be a tougher one... Unless you live in the desert Southwest, just leaving the silly things on the kitchen counter with summertime humidity levels inside the house will cause them to saturate with moisture. Unless you can place the packs into a low-humidity environment without cooking them, I don't see a good way to do it.
Now, all of that being said: I don't believe a few months of higher (i.e., 10-20% above ideal) humidity levels will cause permanent harm to these guitars. It's when they're left unchecked in these kinds of conditions (e.g., in the tropics, where the humidity level never drops below 70%) for much longer periods that problems would develop. Same is true for extended exposure to very low humidity levels (e.g., in desert areas, where the humidity level is never above 20%). I suspect that seasonal humidity shifts in temperate climates are probably taken in stride, and the overall effects tend to average out.
But like you, I still try to hedge my bets as much as possible by maintaining the humidity levels as close to ideal as I can... Wish I had a better answer for you though...