I suspect the E17 would sound better than an E11, though I have not personally heard the E17, that is the impression I've seen from others. If that is the case, the E11 powers the HD650 somewhat OK. In fact, I even preferred the sound of the E11 to the sound of my $350 Headroom Micro (desktop, old model) for HD650. The old Micro happened to create a congested midrange that the E11 did not. However when compared to an amplifier that is an even better match such as the Schiit Lyr or (much to my surprise) the headphone out of my Marantz integrated amp, HD650 jumps to a new level.
So I would say you'll probably get it to work, and it'll probably even sound fairly good. But just know that the HD650s are still capable of far more than that, and don't wrongly accuse the HD650 of being the limiting factor as I once did. They are not
If you don't mind a
very analytical sound, you may wish to look into the JDS built Objective 2. The level of analytical presentation was, to me almost brutally sterile with HD650, but some folks prefer that kind of sound. You can also get an O2+ODAC for a little more than your budget if you need the DAC too. The ODAC supposedly warms up the O2 a little, and is certainly going to be better than straight laptop output.