Guys from all over the continent are going to be leaping to come to the EPL even without CL football due to how much more money EPL teams now have compared to 99% of teams on the continent. We'll be one of the top ten most attractive clubs monetarily in the world. Only City, Chelsea, United, PSG, Real Madrid, Barcelona and Bayern will be above us. Woolwich, Liverpool, Juventus, Napoli, and Atletico Madrid will all be pretty similar to us. We won't be able to get the top targets but we'll certainly be competitive for the second tier.
Also, I'm pretty sure we've bought Vertonghen, Lloris, Dembele, Soldado, Lamela, Paulinho, Chirches, Holtby, Eriksen, Capoue, Adebayor, Chadli, and Sigurdsson without Champion's League. We've had trouble keeping onto players when not in the CL but never really had a problem attracting them since the PL got richer. Now if we add a big name coach in the summer getting players should be even less of a problem. Keeping players should be more difficult but that is true of every single club not named City, Bayern, Barcelona, United, Real Madrid, and Chelsea. Even then they occasionally have one slip away too.