Ok, then why couldn't you revise your scraper so that it did everything in a single session, to avoid this problem?
To me, for private, personal use, a scraper should emulate a normal human browser as much as possible to avoid causing site problems and to avoid detection. If what you're doing can be done in the background, or by a cron process at some odd hour, it doesn't have to be fast at all, and you can set the timings to be similar to a normal human.