I can use "!do" to dump the SqlConnection instance but not sure how to find out its ConnectionString:
0:018> !do 2fa7730
Name: System.Data.SqlClient.SqlConnection
MethodTable: 000007fef4455968
EEClass: 000007fef42b6530
Size: 104(0x68) bytes
(C:\Windows\assembly\GAC_64\System.Data\2.0.0.0__b77a5c561934e089\System.Data.dll)
Fields:
MT Field Offset Type VT Attr Value Name
000007fef80ee580 400018a 8 System.Object 0 instance 0000000000000000 __identity
000007fef7558ff0 40008cc 10 ...ponentModel.ISite 0 instance 0000000000000000 site
000007fef75888d8 40008cd 18 ....EventHandlerList 0 instance 0000000000000000 events
000007fef80ee580 40008cb 210 System.Object 0 static 0000000002769b58 EventDisposed
000007fef4966d98 4000be5 20 ...hangeEventHandler 0 instance 0000000000000000 _stateChangeEventHandler
000007fef49789e0 400172c 28 ...t.SqlDebugContext 0 instance 0000000000000000 _sdc
000007fef80ede60 400172d 58 System.Boolean 1 instance 0 _AsycCommandInProgress
000007fef445c100 400172e 30 ...ent.SqlStatistics 0 instance 0000000000000000 _statistics
000007fef80ede60 400172f 59 System.Boolean 1 instance 0 _collectstats
000007fef80ede60 4001730 5a System.Boolean 1 instance 0 _fireInfoMessageEventOnUserErrors
000007fef4459458 4001733 38 ...ConnectionOptions 0 instance 0000000002fa7798 _userConnectionOptions
000007fef4458b68 4001734 40 ...nnectionPoolGroup 0 instance 0000000002fa7b28 _poolGroup
000007fef44596a0 4001735 48 ...onnectionInternal 0 instance 0000000002fa9130 _innerConnection
000007fef80f5f00 4001736 50 System.Int32 1 instance 0 _closeCount
000007fef80f5f00 4001738 54 System.Int32 1 instance 8863 ObjectID
000007fef80ee580 400172b f30 System.Object 0 static 00000000027885a8 EventInfoMessage
000007fef4458860 4001731 f38 ...ConnectionFactory 0 static 00000000027885c0 _connectionFactory
000007fef80f5658 4001732 f40 ...eAccessPermission 0 static 000000000278f910 ExecutePermission
000007fef80f5f00 4001737 9c0 System.Int32 1 static 16803 _objectTypeCount