Not able to help directly, but you might try to apply for a PHD programme.
I graduated in from a research university in Czech republic, and met several PHD students from non-eu countries who were quite happy here :) If you cast the net wide enough you might find a place that suits you. Just be wary, that PHD programmes vary widely in quality, aviable stippends/grants, expectations of work input, or applicability for your next career.
I had friends part-timing PHD study while interning at a company via some partnership programme, with reasonable monthly income, e.t.c, and I have seen some other friends slaving away for 200Eur/month for 10+h/day at a lab.