The first thing you ought to do is the doser sweeper mod. A bit of duct tape along 3 or more of the vanes and it will leave fewer grounds behind. Also, use a pastry brush or small paint brush to sweep out the chute leading into the doser.
Finally, buy or make a doser funnel. The funnel sits on top of your filter basket to catch the grinds as you dose rather than spread everywhere. Much less mess and wastage.
I have tried keeping beans in the hopper. It improves grinder performance as the weight of beans above helps push the beans through but the beans do go stale quicker. So if taste is most important, only add enough beans to make the coffee at that time. Others have come up with various alternative hoppers or just not use the hopper at all. The grinder neck will hold at least one shot and put a relatively light weight object to apply a little pressure above. I used a cylindric