You can't "trust the process" for MD schools. As you know, only 40% of applicants (including high stat folks) get an acceptance. As the DO application season runs longer than for MD, you have the time to acquire a DO letter and submit it by Thanksgiving, provided the rest of your application is complete before then.
If you plan to plug some holes in your application this year in case you need to reapply, to have a better chance at MD, then waiting until next year to apply DO is reasonable.