For a very rough idea of travel times you could use Stanford University's ORBIS tool. Note that the tool is meant for Roman Empire. While of course there have been many changes between 1700 and the fall of the Western Roman Empire, there weren't many dramatic technological changes in that time period affecting the speed of travel, and further many of these same routes were in use even later than 1700, so it'll probably be a reasonable enough heuristic if your aim is just writing fiction.

However, I have some more specific information that might be of use to you, from Fernand Braudel's "The Mediterranean and the Mediterranean World in the Age of Philip II, Vol. 1" (emphasis mine):

The life of these intermediary places was linked to the arithmetic of distances, the average speed of travel along the roads, the normal length of voyages, all measures that did not substantially change during a century which was not outstanding for its technical progress, which still used the old roads (Rome's ancient splendour survived into the sixteenth century with her roads) and boats of small tonnage (the giants of the Mediterranean were rarely over a thousand tons); which still called on the pack animal more often than the wheeled vehicle.

The latter was not unknown in the century of Philip II, but its progress was slow, almost negligible, if indeed it progressed at all in the years between 1550 and 1600. It is worth remembering that in 1881 the wheeled vehicle was still unknown in Morocco; that it only appeared in the Peloponnesus in the twentieth century...

He goes on like this for a while, his conclusion being wheeled vehicles were really only common in Northern Europe, especially Germany, in the mid 16th century, but over the course of that century they disseminated somewhat more broadly, but were still rather limited or absent in many parts of Europe:

[the wheeled cart] was considered a German fashion [in southern Italy circa 1560], even if by the end of the century it seems to have conquered the road from Barletta to Naples... Even in France at the end of the century carriage roads were not very frequent. Over large areas the pack animal was still the chief means of transport. In the seventeenth and eighteenth centuries the road network of the Ottoman Empire, ' object of much admiration in Europe, consisted of narrow paved tracks, one metre wide, for horsemen, on either side of which flocks and pedes- trians had beaten out footpaths ten times the width. On such roads there was little or no wheeled traffic.

In further paragraphs I won't quote at length here, he says that mules came to dominate European commercial routes over the course of the 16th and 17th centuries. This would likely be the means of transport used by your traveller, although a carriage is not out of the question if he is traveling within Germany.

He also provides some numbers for how long news would take to get to/from Venice to/from various major cities around the Mediterranean. His figures include averages as well as minima and maxima. Note that for some of these cities, the "minimum" figures are given based on horse relays in regions where such methods of transporting news were available, so in general you should be disregard the minimums in favor of a figure somewhat less than the average. Here is the table, which while it does not provide exact answers for the cities in your questions and is about ~170 years off from the year you gave, should nonetheless give you some reasonable upper/lower bounds for the voyages in question. But you should always consider that various natural and man-made obstructions could seriously waylay your traveler:

Irregularity was the rule. A Venetian ambassador on his way to England in January 1610 waited for fourteen days at Calais facing a sea so rough that no ship dared put out. To take another, very minor incident, the ambassador Francesco Contarini, travelling from Venice to take up his post at the Turkish capital in 1618, took six hours to cross the wide but shallow river Maritsa, and then not without difficulty. In June, 1609, a Venetian ship bound for Constantinople had to stand for eighteen days off the open beach of Santa Anastasia in the shelter of Chios, waiting for the bad weather to abate.