It is not totally clear from your post - just what is hanging.
You seem to be blaming the previous problems on the ancient modem, saying it dropped the (ADSL) connection.
But now, you are saying that the connection drops - but it needs a PC reboot to get things going again.
Are you certain that the connection is being dropped? Or is it the PC locking up, with the ADSL connection actually still OK?
Line One:- Zen - DrayTek Vigor 2600VG
Line Two:- EntaNet - DrayTek Vigor 2600