You can take it with the SSD in it, but if they need to send it out for repair, you will want to swap to the OEM drive to insure that your SSD remains yours. Might want to take the OEM drive with you, just in case it turns out to be related to the SSD.
In the past when I have had issues, I took it in as is. When they informed me it was going to have to go to Depot, I stated I would have to bring it back after I swapped the RAM and drive. They were fine with that, noted my account, and told me just to drop it off when I returned and they would send it out.