I'm about to try unguided imaging on my C14EdgeHD. I have an ASA DDM85 mount which is pretty good with a decent sky model when using a Hyperstar at 712 mm focal length. However I'm unsure how well it would perform at 3910 focal length.
John Hayes:
The Celestron Edge14 has a good optical system but a very mediocre mechanical design. The primary can move and the entire OTA is not super rigid. You might get some useable results by imaging without guiding but why? Guiding is easy and it guarantees that you won't have guide errors due to mechanical flexure or thermal issues. Guiding will also greatly improve your image yield. High quality sky time is valuable so don't throw some of it away by not guiding!
I can still remember years ago when a well known guy in this industry first started imaging from DSW. He got a CDK14 and put it on a high-end mount with absolute encoders. He decided to run it unguided and he had nothing but trouble. Yes, he got a few decent subs but he threw out most of the data that he gathered. He only lasted a couple of weeks before he flew back out to the observatory and retrofitted a guider on the system. After that, the scope was useable. Lesson: Don't be that guy.
John
Seung-Jun Kim:
I doubt if it is possible without AE.