if your gonna go custom, go esp custom. i like esps custom shop better than any custom shop. jackson customs are alright, but they make soo many guitars that you dont really need a custom shop.
but i would definately say to check out the more expensive ibanez, i seriously dont believe that you can beat them, they are some of the greatest guitars ive ever played, next to esp of course. jacksons are alright, but i dont think they play as well as the ibanez or esp, and they are definately lower quality.
about your dime guitar, ive never heard that problem being a reoccurring one on those guitars, maybe your neck is bowed?. and if it isnt bowed, then maybe your floyd rose needs to be adjusted more. one reason i dont use floyd rose is because of all the trouble they are of keeping them in top shape, especially since i fluctuate between 11's and 12's more than one should change string gauge, so im constantly fucking around with intonation, action and the like.
even if the bow is very small, fixing it can make a HUGE difference. so definately check that out, and you might not need to spend the money on a second axe
) http://www.montereyguitars.com/ They're mid-range, so you can afford the pedals as well. 
