I would go for it, I have just paid £2500 for those exact dates for one adult one child staying at ASM, possibly ripped off but it was so difficult to find flights I went for it and the pain will have worn off by the time we go!
My messing around cost me £500!
I eventually booked for 4 people - £2075 using United via Washington DC. This one stop adds about 3 hours to journey but worth the savings given the extreme cost of direct flights for those dates.
We have just over 2 hours between flights at DC. I'm hoping this is enough!