Thank You . . .
First of all, I have never owned the Patriot antenna. But from what I heard from many sources, it isn't a very quality built antenna at all. There have been many complaints from those who have bought/used it. Might want to Google it and not take my word for it. You could probably build your own dipole and it would probably work much better than your Patriot.
A ground plane antenna like a Maco V-58 is both a very popular and inexpensive antenna. The Patriot has no ground plane on it whatsoever. This is a problem. For that reason, it will use the coax as a ground plane/'counterpoise (Google 'counterpoise' and suddenly so much of what I am describing here will suddenly begin to make more sense). Which will lead that transmitted RF right back into the shack when using power and really mess with your radio and amp setup. I consider this a major problem from what you have told me here.
Part of the problem you are having has to do with the fact that your antenna is too close to your radio/amp. You don't want it right above you, and would be best if it was more than a few feet from the building. Get it as high as you can in the air - safely. Watch out for POWER WIRES/POLES! 36 ft high is ideal; but higher won't hurt either. Too low and you will just have the same problems regardless of what antenna you use - especially when using an amp.
Grounding the radio, power supply, and amp should be done by using 'braided grounding wire' - as opposed to using just normal stranded or solid wire. It will need to be connected to a ground rod. If you are close to the house ground rod, you can use that. If you are too far away; then you will need to put another ground rod in - as close to the shack as possible - and link the house ground rod to the new rod. Then attach them both using 10ga solid wire between those two points. Bury that wire between those two points; what you are trying to remove any possibility of a 'ground loop' - which is also important to do. That wire can be regular 10ga stranded wire if it is to be buried. In any event, that is what I can see and what I would do if I was going to run power as you do.
Use a choke coil beneath a ground plane antenna (5 winds of RG-58 coax on a coil form with a 4.25 inch diameter). Not much hope for your Patriot antenna though; even with this choke coil. Otherwise, just run the radio w/o the amp and you can keep using that Patriot. But I wouldn't; that is for sure. Your antenna, its location, and the lack of proper equipment and house grounding are major issues that you face - IMO . . .