From what I know about Enroute, it should make the Beckwith Studio sign easily. I have Artcam Pro but like others said the dorks at Autocad discontinued it. I stopped upgrading with the 2015 version and I'll use it till I retire. If I was starting over I would go with Aspire. Yes it has limitations, it is a company started from former Artcam engineers. It was a few years behind Artcam, obviously, you don't catch up to 10 years of development with a new product in a short time. But it will easily make the sign you have shown which should also be easy in Enroute. Fusion 360 is a great program for making machine type parts and prototyping but many of the guys on a Facebook CNC forum struggle with it, especially when trying to make signs with 3D elements. You are much better off with Aspire or Enroute since there are thousands of reliefs that can be purchased very reasonably so that modeling time is short.
I know Gary Beckwith personally and was at the router workshop 8 years ago when that sign was one of the projects we did. I have one just like it. Artcam has a decent wood grain texture as part of the software but I use a file created at that seminar where Joe Crumely sandblasted a fairly large red cedar panel, he took a picture of it and brought it into Atcam to make a new texture. I use it all the time on anything where I want that sandblasted redwood look. V-Carve Pro can also bring import reliefs but I think V-CArve Standard does not.