I would suggest not using the Gold Dollar razor if you are using the factory edge as supplied. I do not believe any amount of stropping could put it right. It likely needs to honed to be sure it has a good edge. That and your technique combined could be the problem. Once you eliminate the blade as a source by having it honed to shave ready then you know it is your shaving technique if you still have the same issues. The razor you are waiting on might go a long way to improve things too as it should have a better edge than a Gold Dollar factory edge.

In the meantime do as Utopian suggests and go slow, watch your pressure on the blade, blade angle and do WTG passes. If it goes better WTG with your new razor then try XTG. If the XTG is comfortable then maybe try the ATG pass.

Bob