You mean one issue or a subscription?
I also had a subscription to the weekly edition of The Washington Times-in my opinion, the best daily in the United States-at one point in time.
If I were going to give someone a subscription to a conservative/right-leaning publication as a Father's Day present, I would probably choose something along the lines of Commentary or The New Criterion, which are extraordinarily literate, scholarly magazines, though both are a bit too pricey for my taste.
You could also enroll him in the Conservative Book Club-I ordered several fascinating tomes from them several years ago-which has the best political/cultural exegeses out there! It also offers books at bargain prices!
I hope I've helped you a little bit, or at the very least, gotten the discussion rolling.
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In this order:
1. The New American.
2. The American Conservative.
3. The Schwartz Report
4. American Spectator
5. Reason
6. National Review