Looks like your dialing it in, Martin! When you get down to a few arcminutes or less, it is good to just let the mount drift for 10-15 minutes and see how things go. You will want to find a star about half that time to the east of the meridian, and just let it drift through the meridian to the west. When it is in the middle five minutes of that range, you want to watch and see if your drift is flat or nearly so. If it is, then your good to go.
Without the ability to sight in on Polaris with a polar scope, it can definitely be more difficult, but you've done well.
You may find that how close a PA you can get may be limited by your mount's performance, as well as how level your mount is. Lower end mounts are unlikely to be able to be aligned as well as higher end mounts.
It should also be noted that if you are going to be guiding, you don't need to get it down to 0. I find that around 1-2 arcminutes PA, my guiding flattens out a lot more as guiding stops fighting the drift. Over 5 arcminutes or so, and you can tell guiding is fighting drift a lot more, and at least in my case, my RMS increases at that point.