Lucic is an absolute stud in a league like yours - I would definitely rescind the offer.
AP is flavour of the month right now - you will have to overpay for him and in most of the trades I've seen contemplated, he's not worth the risk considering he's only put up one impressive season and may easily regress.
He's really not that special in your format... I bet guys like Seabrook and Girardi are more valuable than him once you tally up the points and I'm sure they can be had for much cheaper. Don't over-reach.