PP-300 may not provide enough start up current for BAT. You might want to check with Victor at BAT or Paul at PS Audio about that. My VK-50SE is powered by a PP-600 with great results. Some MW settings will cause the transformers to buzz. Mine is set at PS-2 and it is dead silent.
If you could stretch your budget a bit I would strongly suggest getting a PP-600 instead. Although a PP-300 is rated at 300W but in reality, you dont want to push it beyond 200 or it will get very hot even with the internal fan. And once you try it with a piece of your equipment, you will want to plug in more and very soon a PP-300 will run out of juice. PP-600 is rated at 720W and is more flexible. I have my entire front-ends (5 pieces) plus a 53 RPTV powered by a single PP-600 without any problem. They draw a total of 420W.
BTW, if you are getting the PP-600, make sure you order the new top plate with a vent slot. It helps cool down the unit a lot.