Ce n'est clairement pas une bonne idée. Pourquoi ? car le site officiel du gouvernement US (US customs and borders) est très clair :
Si vous dépassez les 90 j accordés dans le cadre de l'ESTA (Overstay) vous pourrez toujours rentrer chez vous, mais vous risquez jusqu' à 5 ans d'interdiction d'entrée sur le territoire US si vous refaites un demande pour venir aux
USA.
help.cbp.gov/...l/a_id/962/related/1
"five year restriction usually applied to people that have overstayed their visit".
Vous dites que vous "êtes obligés " de dépasser d'une semaine mais attention, seuls les cas d'urgence autorisent un dépassement de ces 90 j et ces cas d'urgences sont très précis.
Voici ce que l'on trouve sur le site de la douane US.
help.cbp.gov/...ers/detail/a_id/1024
I am visiting under the Visa Waiver Program, but I can't leave as scheduled due to an emergency. How do I extend my stay?
If an emergency prevents you - if admitted under the Visa Waiver Program (VWP) - from departing the United
States within your period of authorized stay, the U.S. Citizenship and Immigration Service (USCIS) district director having jurisdiction over the place of your temporary stay may, at their discretion, grant a period of satisfactory departure not to exceed 30 days. If departure is accomplished during that period, you will be regarded as having satisfactorily accomplished the visit without overstaying the allotted time. Satisfactory departure is only granted for real emergencies, such as hospitalization, conditions that cause flights to be cancelled or delayed for more than 24 hours (i.e. weather, worker strikes, etc. etc.)
Otherwise, people visiting under the VWP may not extend their period of stay beyond their initial 90 days.If you are unable to go to a USCIS office to obtain satisfactory departure because your overstay is due to a weather-related emergency and you are staying close to the airport until boarding, we suggest you keep a copy of any evidence you have of the emergency situation in order to resolve any questions about the reason for your overstay the next time you come to the U.S. This could include cancelled tickets, a statement from an airline about flight cancellations, including newspaper or other reports of significant storms.
Vous voila prévus.
Bon séjour