Its as simple as you say, get some new or good used slicks and your there, your 105.5 at 3740lbs computes to an on track 360hp and 12.77's with 60fts around the 1.77 mark, your tickets will show the story...once you have the slicks and its hooking good, you can bring those secondaries in early like before and also try more start line rpm and you'll be well into your goals and past it, once you have some time slips and a base with that tune, up jet the carb both pri/sec at 2>3 size increments until the mph drops off but there's only so far you can go with what I think is a small carb for that set up, 440's like air and lots of it.

Next step would be a good used 850DP Holley keeping costs down which would work well and even better with a looser converter (3>3200 as you have the cam) and perhaps at some time taller gears to get that weight moving quicker but still keeping it streetable and within your rpm range on track at the stripe..I could see it going close to mid 12's like that?.