I really, really liked my E35 and I still wish I had it at times. I had a E35 and an E32—the E35 was my competition bow and the E32 was my hunting bow. I sold the E35 and went with the Victory for competition and still have the E32. Looking back, I wish I wouldn't have stubborn and done what I should have which was sell the E32 because I shot lights out with the E35. As far as speed, I don't think Elite is that far off from anyone else—they are right there with them. When I switched from Mathews to Elite I was shooting the Reezen 7.0 (Mathews fastest solo cam 335 ibo) for hunting because it is a tack driver. I did change arrows which are 12gr lighter than the shafts I was using on the Reezen, but I'm pulling 7lbs less weight and shooting 294fps. The Reezen was pulling 70# on a 28.5" draw and shooting a 410gr arrow@284fps, with the E35 on a 28.5"draw it was shooting a 398gr arrow@294fps.
That is enough about speed—I hate talking about it, because it is worthless subject and I just wanted to throw those real-life numbers out there because they are relevant to the conversation. In my opinion, you cannot go wrong with either bow. Granted I shoot Elites, but it is what I like the best and what I shoot the best—kinda of like, I really prefer Nike. However, if I was going to switch, it would likely be New Breed. I have not shot the Eclipse, but I will tell you what I can about the E35.
The E35 is a binary cam bow, like the Eclipse, and it is a limb stop bow which will give you an absolute rock solid backwall, as previously mentioned. The draw cycle is a smooth constant pull: no valleys, humps or dumps in the cycle—once you get it going back it just comes right back to the wall. Because of the solid wall, you can relax and hold full draw for a longer time than most—especially at a 80% letoff or higher if you adjust it that way. However, the let-off is very adjustable and it can be done by adjusting the limb stops and/or adjusting the cam rotation—this can be done with all Elites and most limb-stop, binary cam bows. I had my Victory sitting at about a 87% letoff—I had it at full draw on the draw board and just took my hand off of the cocking rachet and it just sat there on its own. But I also have had it down to a 57% let-off as well. As far as balanced, the E35 is incredibly well-balanced on its own. Most bows have a tendency to be naturally top heavy and they will roll forward on their own, the E35 will just sit there—that will change as soon as you start putting accessories on there, but it can be easily balanced and stabilized by using a weighted stabilizer system. I have never noticed any hand shock in the E35, but some are more sensitive to hand shock than others, but most people claim they don't feel any as well. The only knock I will give the E35 is the grip, they have corrected it by using the grip design that was on the Victory, so make sure that if you buy one it is of the newer designed E35 that has the Victory grip. It's not that the original E35 grip is bad, it is just different and takes a awhile to learn how to get used to. Most people ended up having to use a high-wrist grip with it, which can cause all kinds of problems in of itself so that is why they changed it to the Victory grip because everyone loves it now! The Elite warranty has already been covered and it is one of the best, if not the best in the industry—it is transferable and they will send you a ready to hunt bow if your on a hunt!
That being said, you need to get out and shoot them for yourself and probably some others just to get the idea of what tickles your fancy and let the bow find you, and not the other way around.
Good luck and I hope this helps.