Hi Donna,
Thanks for your question about Total Upkeep backup plugin for WordPress.
Max PHP execution time is a built in variable that’s required for any PHP application to function properly. If you’re backing up a larger site you will likely have the same issues with Total Upkeep because an error with Max Execution Time usually means that it is taking longer for a process to complete than your current PHP settings are allowing, and it is timing out because of it.
If your hosting company has limitations on these settings I’m afraid it may not run Total Upkeep efficiently. We do have partner companies like InMotion Hosting and they have hosting plans from as low as $2.99 per month that could accommodate your task.
I hope you find this helpful! Please reach back out to us if you have any questions.