To answer the question, it's "Who" over "Trek". Used to be the opposite for many years. Here's why:
The reason for "Trek" falling was to me the entire franchise became stagnant. The reboot is OK, but it's not the same. Used to really enjoy the TOS, TNG and DS9 "Trek" novels, but I simply cannot get into the ones from the last decade or so. A lot of people blame Rick Berman for running "Trek" into the ground, and the last straw for many was "Nemesis", which I liked fine, but it did seem to signal the end of old "Trek". "Enterprise" was a waste of time. Except for the reboot "Trek" sequel, who knows where things might go. It might well be dead.
"Doctor Who", on the other hand, I finally got into it in 2005, when I ran across an old Pertwee rerun on my local PBS. I didn't know the series was still on after all these years; I've since learned about the classic period ending in 1989 and then re-started in 2005, and all that. So the better part of the last five years I've been watching the new series, and going back into the classic era. I have watched, at least one time, every serial from "The War Games" ( final Second Doctor era story ) to the most recent Matt Smith. Just a few days ago I went online and watched "The Time Meddler" from the Hartnell period. So I'm getting close to watching every "intact" serial at least once.
"Who" is just fascinating all around. In the classic era, the story itself and the acting made up for the obvious lack of "top of the line" special effects. It's so awesome seeing the pioneer days of Hartnell before making way to Troughton. Then Pertwee being the first era to go "color", even though a couple episodes survive in "black and white" format. Of course, Tom Baker, following the great Pertwee, set the the bar even higher for future actors when assuming the role of The Doctor. Davison ( my personal favorite ), Colin Baker and McCoy all made their respective marks on the franchise. I hope we see McGann onscreen again one day, but I hear his Big Finish audio dramas are excellent. The EDA ( Eighth Doctor Adventures ) are a pretty hard read sometimes but I can get through them. And we all know what Eccleston/Tennant/Smith brings. Plus I really enjoy the novels of the Tenth and Eleventh Doctors.
To summarize, "Who" is just a great show with compelling storylines, good acting, etc. It's a show that, once a season is over, you are counting down and checking websites to see when the next season starts. Still going strong after all these years. Just a never ending journey for a certain Time Lord in a police box.