Sorry about my spelling,
But eh, every time I wash my 68, the rear chrome around the back window holds a gallon of water on each side edge of the chrome, on the outer edges. I only wash the car by hand, never have I taken it to a car wash.
I dry the car off, and have to tap the molding to get all the water out from underneath the molding. I have to keep doing this process over and over to get it dry and the spots removed.
The molding holds quite a bit of water, at least a cupful on both sides.
I do not really want to remove the molding as I am in fear of messing up the molding, and I would not know what to do probably even if I had the molding off.
The car has been repainted.
I am asking you guys first. Next step is to take it to the body shop that had the chrome off when it was being painted and ask them for advice. As far as I know, the molding is original to the car.

Very common problem, for all of GM during those years.

When the window guy installed the front & rear windshields, he filled/laid a large bead of of filler above the adhesive, then applied the moldings. After some time, a couple minutes, excess adhesive oozed out and he wiped it off.

Another trick you can do is to use an air gun and blow out the water from under the moldings, as in blow drying.

Is any water leaking into the trunk? If not, I would continue to do what you are doing to dry the moulding and just keep an eye on it

I agree with Everett, blow dry. If you don't have a source of compressed air, try a leaf blower!

Don't EVER fill that channel up with sealent of any kind! That is a death sentence for the channel, then it WILL retain water when it gets under that sloppy mess.

Listen, that is how GM designed it, it works just fine IF the channel was prepped and painted properly, it won't mean a thing.

If you wanted to you could put drains in the corners as I have before with a piece of tubing welded in and then run a rubber hose out the bottom of the quarter. That worked like a charm. But now, after the car is painted, forgetaboutit.

Just wipe the water away, you would have been doing the same thing the first time you washed it if you bought the car new.

Brian

Another trick you can do is to use an air gun and blow out the water from under the moldings, as in blow drying.

Like he said..it's a regular part of my car wash procedure. The only drag is sometimes you blow some crud out along with the water onto the already cleaned and dried car. I also blow out all of the emblems and anything else that traps water. I'm sure my neighbors think I'm nuts, but they just don't understand ;)