I don't have the answer, but my basement doors pretty much do the same thing. They don't leak, but do collect water in the areas you mentioned and when opening a little will get inside. I've wicked the water off the top of the door before opening, and all was dry inside.
John and Rebecca Dickson
Emma-7 / Little John-5 / Iva-1
Full Timing Again, Rev B
2013 Ford F-350 Lariat CC LB PSD
2015 SOB TT - With OC's Awning Poles (#8)
At least in Heaven, RVs will be perfect, and I won't have to keep fixing them.