score:3
A bunch of options:
Upvote:2
Talk to the international students office at your school first. If you're required to be present on July 23, they may be able to update the program start date accordingly.
As explained in Understanding SEVIS Program and Session Dates, you're allowed to enter the US 30 days before your program start date ("Date orientation or required activities start"), and that can be up to 30 days before classes start (the "Initial Session Start" date). If they're able to set your program start date to July 23rd, the date your mandatory orientation begins, you could enter the US on July 13th as planned, which will give you a little bit of time to get settled first.
Upvote:3
In addition to Hilmar's suggestions, you could also consider coming to the US in mid-July, and entering as a tourist. On July 20 or 21, leave the US and cross the border into Canada or Mexico. Spend at least one night outside the US. On July 22, enter the US on your F1 student visa.