My GPS doesn't show me the position of the masts near my home airfield.
With respect 3xF, you don't know how to use a GPS
I have flown many aeroplanes without MM GPS, the MM is a very nice addition but not essential. In your case I would create say 3 waypoints (by reference to a chart) describing an inbound route that would keeep me clear of any hazards, and as long as my cross track error was below a certain amount I can be 99.9% sure I'll be ok. In fact it may be a wise idea to have the approach into your airfield as a permanent route in case of such situations....oh wait, I think I've just created a GPS approach
While you're at it, may as well create a SID