RavenDB EmbeddedDocumentStorage in Medium Trust

I'm trying to use RavenDB in Medium Trust, I would like to try the embedded model, since the hosting (cheap) I use will not allow to install a service. My code to initialize is the following:

private void ConfigureStorage()
    {
        store = new EmbeddableDocumentStore();
        store.Configuration.DefaultStorageTypeName = "munin";
        store.Configuration.DataDirectory=Server.MapPath("$/App_Data");
        store.Initialize();
    }

that works in full trust, but in Medium it throws:

Request for the permission of type 'System.Security.Permissions.SecurityPermission, mscorlib, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089' failed. with the following stack trace:

[SecurityException: Request for the permission of type 'System.Security.Permissions.SecurityPermission, mscorlib, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089' failed.]
   System.StubHelpers.StubHelpers.DemandPermission(IntPtr pNMD) +0
   Microsoft.VisualBasic.CompilerServices.NativeMethods.GlobalMemoryStatusEx(MEMORYSTATUSEX& lpBuffer) +0
   Microsoft.VisualBasic.Devices.InternalMemoryStatus.Refresh() +68
   Microsoft.VisualBasic.Devices.InternalMemoryStatus.get_TotalPhysicalMemory() +11
   Microsoft.VisualBasic.Devices.ComputerInfo.get_TotalPhysicalMemory() +49
   Raven.Database.Config.InMemoryRavenConfiguration.GetDefaultMemoryCacheLimitMegabytes() +301
   Raven.Database.Config.InMemoryRavenConfiguration.Initialize() +631
   Raven.Database.Config.RavenConfiguration.LoadConfigurationAndInitialize(IEnumerable`1 values) +311
   Raven.Database.Config.RavenConfiguration..ctor() +189
   Raven.Client.Embedded.EmbeddableDocumentStore.get_Configuration() +99
   Wine2.MvcApplication.ConfigureStorage() +84
   Wine2.MvcApplication.Application_Start() +84

Raven build is: Version 573

Are there some workaraound to make it working under medium trust, or is this scenario unsupported?

Under strict medium trust, RavenDB won't work. But there plenty of hosting companies that provide hosting where RavenDB does work, because they tweaked the permissions.