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I ask because I'm curious: What sort of plan do you envision him as having, if he theoretically had/could have had one? How much of the situation (start of Nagini's protection, Harry's location at that time, etc.) could he really foresee well enough to plan anything out? Harry obviously wasn't going to come to him, the portrait was blindfolded and so rather hampered, and Voldemort doesn't seem to be in the habit of telling people his plans in detail ahead of time. Literally all he knew was that the moment he found out about Nagini, he should find Harry and tell him the necessary info. Which is exactly what he attempted to do. How much beyond that could he have known in time to plan?
If you're referring to a plan about how to communicate with Harry so that he would trust him and not shoot on sight: there's nothing to say he didn't have a plan ready that was interrupted by events (i.e. Voldemort deciding to murder him then and there, having to converse while bleeding to death) beyond his control and, given his incomprehension at Voldie's questions, also quite likely beyond anything he would have thought to expect. That is, he knew he was in a perilous position, but had no clue about the Elder Wand and therefore that Voldie would plan on killing him for it *while believing him still faithful.* By far the greatest dangers he expected to face (and so plan for) were 1) suspicion or discovery by Voldie, and 2) death by Order member or Harry himself.
As for plans to get the info to Harry in case of his own death: 1) I believe Oryx is correct that Dumbles would have made certain to get the info to him, something Severus almost certainly also would have believed to be the case, and 2) we see so little of Snape's activities during that time that there really is no evidence he did NOT have a such a plan B (absence of evidence being no evidence of absence). Harry did receive the info from him before he died, within a very short space of time from the moment Snape realized the possibility of his imminent death - so if there was say an automatic backup or something he could trigger remotely, it/he had little time to trigger and then it was unnecessary. So we don't see it.
All this is not to say he DID have a plan, just to point out that it is about equally possible/likely that he did or did not. JKR doesn't show us everything he does, just the minimal bits relevant to filling the reader and Harry in on what actually did happen. Statements that he did or did not have a plan B are all equally pure supposition.
If you're referring to a plan about how to communicate with Harry so that he would trust him and not shoot on sight: there's nothing to say he didn't have a plan ready that was interrupted by events (i.e. Voldemort deciding to murder him then and there, having to converse while bleeding to death) beyond his control and, given his incomprehension at Voldie's questions, also quite likely beyond anything he would have thought to expect. That is, he knew he was in a perilous position, but had no clue about the Elder Wand and therefore that Voldie would plan on killing him for it *while believing him still faithful.* By far the greatest dangers he expected to face (and so plan for) were 1) suspicion or discovery by Voldie, and 2) death by Order member or Harry himself.
As for plans to get the info to Harry in case of his own death: 1) I believe Oryx is correct that Dumbles would have made certain to get the info to him, something Severus almost certainly also would have believed to be the case, and 2) we see so little of Snape's activities during that time that there really is no evidence he did NOT have a such a plan B (absence of evidence being no evidence of absence). Harry did receive the info from him before he died, within a very short space of time from the moment Snape realized the possibility of his imminent death - so if there was say an automatic backup or something he could trigger remotely, it/he had little time to trigger and then it was unnecessary. So we don't see it.
All this is not to say he DID have a plan, just to point out that it is about equally possible/likely that he did or did not. JKR doesn't show us everything he does, just the minimal bits relevant to filling the reader and Harry in on what actually did happen. Statements that he did or did not have a plan B are all equally pure supposition.