Don't know a thing about the F1, but when comparing the 1604s to the Mix Wiz, remember that you need direct outs for each channel you want to record to do multi-track recording. The 1604 offers 8, the Mix Wiz has 16.
So if you have a 16-track format recorder AND you want to record more than 8 tracks at a time... I'd lean towards the A&H, not to mention those preamps
Of course, I found my Soundtracs Topaz8 used for less than the Mix Wiz goes for new. Nothing like a true 24/8/2 format analog board...