WAMU & US Bank both let you download your statements and account activity.
Or you can just copy the part that applies to the DMV check.

Some banks will email a copy of a check to you also if needed for records or proof.

In OR generally they allow 30 days leeway on the tags.

If you need to get out and about I'd just go for it.
Have the bank/check info in the car with you a proof just in case.

OR DMV does a lot of stuff online - so you might contact your state DMV online and see if you can get some sort of proof or validation emailed to you.