I think it really depends on what guitar and pickup system you are using.
The Fishman Loudbox series seems to work very well with the ES1...almost like they were made to work together. I've never tried the AER Compact 60. I have tried the Bose L1, the Dean Markley Ultrasounds, Yamaha acoustic modeling amps, the Fishman 220, the Fender Acoustisonic, the Marshall Acoustic and the Fishman Loudboxes as well as a few inexpensive Acoustic amps. I could tell you why the others didn't sound right, but I'll focus on why I like the Loudboxes. For me, the Fishman Performer combined with my NS54, and two ES1 equipped guitars (K26 and 522) sounded like my guitars, just louder. The Loudbox Artist was a bit punchier with slightly tighter bass and a little less air than the Performer. The mini sounded great with so much portability.
In the end, the only right answer for you is the one that's cost effective (that you won't sell in a year or two just to buy an upgrade), portable (for your needs) and sounds like your guitar, only louder.