Thoughts on a common deviation - (2 man) PU covers 3B on a extra base hit?

[teebob21]

I'm not advocating for this deviation, but it's a common one. This came up over postgame sodas last week and I thought I'd open it to the forum.

Sitch: No runners on, 2 man system. Assume a competent, experienced crew that has worked together before. A gapper is hit for an obvious double. PU moves past the holding zone and communicates "I've got your 3B".

IF there is a misthrow or BR is super aggressive and advances to 3B, what is the best course of action for the BU (assuming this hasn't been pregamed...and we should not pregame deviations)?

- Cover home?
- Stay in the middle for a possible retreat to 2B?
- Continue to work his responsibilities and take the BR to 3B, and deal with the aftermath in postgame?
- Something else?

I will admit I've done this as PU, when I have a less-mobile BU partner. I probably shouldn't.