Yo, 60's -
I'm in the 'thru the PA' camp, assuming you'll have stage monitors in the system, and for that solution I strongly recommend this for your DI:
L.R. Baggs ParaAcoustic DI
I picked up one of these year or so ago. Used in good shape it was about $100. (I traded stuff for it at R.O.B.'s). Takes a bit of tweaking its gain settings until you understand the relationship of your guitar's pickup or system, with or without an onboard preamp, and the DI's to the PA board or, as a recording tool, to your DAW's inputs (it can route the guitar to stereo). But once you find the sweet spot, I doubt if you'll get a truer, more realistic acoustic sound. You could even try pushing its output thru a tube pre to the board.
I can also vouch for the fact that it works extremely well as an electric bass guitar DI....so beware: your bass player may want to steal it from you if you let him try it. Make him buy his own.
Years back, I had an acoustic trio gig for a year or so (2 guitars, bass, 3 vox) and the only thing not going thru the PA was the bass. 50 seat Coffee house to 150 cap bars, occasional auditorium things.
^^
AXES: Fender '81 The STRAT, '12 Standard Tele, '78 Musicmaster Bass, '13 CN-240SCE Thinline; Rickenbacker '82 360-12BWB; Epiphone '05 Casino, '08 John Lennon EJ-160E; Guild '70 D-40NT; Ovation '99 Celebrity CS-257; Yamaha '96 FG411CE-12; Washburn '05 M6SW Mando, '08 Oscar Schmidt OU250Bell Uke; Johnson '96 JR-200-SB Squareneck Reso; Hofner '07 Icon B-Bass; Ibanez '12 AR-325. AMPS: Tech 21 Trademark 10; Peavey ValveKing Royal 8; Fender Acoustonic 90, Passport Mini, Mini Tonemaster; Marshall MS-2 Micro Stack; Behringer BX-108 Thunderbird; Tom Scholz Rockman. PEDALS/FX: Boss ME-50; Yamaha EMP100; Stage DE-1; Samson C-Com 16 L.R. Baggs ParaAcoustic D.I; MXR EQ-10.