European host with constant access to MySQL

Dear friends

I didn't found non-expensive hostings which are allow long ODBC sessions to MySQL via internet (port 3306 usually).
I do want link my MS Access file to internet database. Usually this link is broken after some time (1 min appx). Link with the local MySQL server works perfect, i.e. I think that the problem with the hosting services.

I.e. I need a host:
1. with good MySQL access via Internet ( ODBC, port 3306 can be open for a long time )
2. quick site, pereferably in Europe
3. not very expensive
4. store space is several GB

Thanks for your advices !