You don't trust the banks and your engineer don't trust your figures.
200m2 with two persons for €150.000 . How do you insure two persons working on a site for propably 2 years workmanship for this money incl. the material? Imagine one of you lands in the wheel chair for the rest of his life, who would fork out for the entire costs of this accident? It would be the site owner if it comes hard to tough.
Self build is a risky undertakement , working with mortgages and employed people ( strangers working on site) is a complex thing, when you're not willing to take the risk plus labour onto your own shoulder then you should marry your brother in law. Seriously, the project you have in mind isn't easy, though it can be done. Millions of houses are build world wide every year the way you plan to go.
But that is also known in the circles , the mortgage providers have to see where they can make a profit and the engineers, who have an on site look at the matter, will also try to get around a loss.
€ 20.000 savings- is that on top of the site and site developement and foundation and the first batch of material? Or would the €20.000 be designed to pay for that? Is the site (incl. planning permission) obtained, the engeneer paid from that ?
Try the following web page :
http://www.iaosb.com/
It's a site of self builders with a lot of considerable information.