Of the various publication opportunities specifically for formal/traditional poets, three are taking submissions until July 15, and four other formal-friendly publications have submission deadlines of July 31. There is no submission fee for any of them. Here they are – the links are to the submission requirements:

Able Muse (magazine) Deadline, July 15.
Submit one to five metrical poems (or one long poem), rhymed or unrhymed. (A poem of more than 40 lines is considered a “long” poem.)
All types of formal poetry are welcome, from traditional to boundary-pushing. We want well-crafted poems that use meter skillfully and imaginatively (with rhyme or not), in a contemporary idiom that reads as naturally as free verse.

Able Muse Press (book-length manuscript) Deadline, July 15.
At least 50 pages of poems – same preferences as for the magazine.
There’s NO reading fee.
“We respond within 9 months or so.”

Helen Schaible International Sonnet Contest Deadline, July 15.
Categories:
1 Traditional Sonnet – Shakespearean or Petrarchan
2 Modern Sonnet
Open to All. Free. Enter only one poem in either Category #1 or #2, or one poem in each.
Prizes for both categories: First Prize: $50. Second Prize: $30. Third Prize: $20.

Formal-friendly magazines, themed and with July 31 cut-offs:

Snakeskin (short poem issue, nothing over 10 lines). At the link, read the tabs on the left side for submission details. Submit earlier than the very end of July, as publication is scheduled for August 1st. Editor: George Simmers.

Allegro (theme: Freedom) Four poems max. Editor: Sally Long.

Amsterdam Quarterly (theme: City and/or Country) Two poems max. Editor: Bryan R. Monte.

Rat’s Ass Review (unthemed – the editor publishes whatever he damn well feels like publishing, as you might have guessed.) Five poems max. Editor: Roderick Bates.

In addition:

Rhizome Press (not to be confused with Rhizome Books) publishes anthologies of formal verse. Editor Beth Houston is taking submissions of up to 10 sonnets for Extreme Sonnets III, and up to 10 “extreme formal poems of at least twelve lines” for Extreme Formal Poems II. The submission deadlines are not given on the website, but will presumably follow on the publication of Extreme Sonnets II which is currently in the works.

UPDATE from Beth Houston, 11 July 2022: “At long last Extreme Sonnets II is published and available on Amazon! Will there be an Extreme Sonnets III? Likely, but not for awhile. In the meantime I’ll be putting together an anthology of love sonnets—extreme sonnets, of course. I’ll post submission details on the Rhizome Press website soon. All sonnets included in Extreme Sonnets, Extreme Sonnets II, and Extreme Formal Poems will automatically be considered. Stay tuned for more details.”