...I am also eager to see if there is any representation at all (sketch, painting, engraving...) of Baskerville's place, Easy Hill and of his Mausoleum (I think it was pyramid shaped?).
I am sure many will know the story of his afterlife. Baskerville, an atheist, was buried at his own request upright, in unconsecrated ground in the garden of his house, Easy Hill. When a canal was built through the land his body was placed in storage in a warehouse for several years (and on display to the discerning public) before being secretly deposited in the crypt of Christ Church (demolished 1899), Birmingham. Later his remains were moved, with 600 other bodies from the crypt in the dead of night, to consecrated catacombs at Warstone Lane Cemetery.
OK - managed to answer my own question with the help of Birmingham University Archaeology Dept
https://www.barch.bham.ac.uk/projects/libraryofbirmingham.html :
Easy Hill the home of John Baskerville – Printsetter and Japanner
The development of the New Library site began in the post-medieval period, with the construction in 1745 of Easy Hill house, by John Baskerville, the renowned printer and typesetter. John Baskerville was one of the early members of Birmingham’s intellectual elite, the Lunar Society that included amongst others Matthew Boulton (of Soho House), James Watt (the inventor of the Steam Engine ), Erasmus Darwin (grandfather of Charles) and Josiah Wedgewood (the Staffordshire Potter). He also shared a close professional friendship with Benjamin Franklin, the US President who shared his love of printing.
The property first appears on Thomas Hanson’s maps of 1778, followed by Snape’s 1779 Plan of Birmingham. These plans show a group of buildings to the east of the site, within the study area, with a well laid out set of gardens to the west of the house. To the northwest of this is a small wooded section, possibly an orchard. Documentary sources tell us that it was surrounded by an ‘extensive paddock’. Outside of the study area, the maps show that the Birmingham Canal, which loops around the site on its north, west and south sides, was in place by this point having been constructed in 1768-72. To the south of Broad Street, directly opposite the site, the industrial development of this part of the city had already begun, with the construction of iron foundries on the north side of the new Birmingham wharf. A brick kiln is also known to have been in use in this area in 1751.
This period of the study area’s history is of tremendous importance to the history of Birmingham as a whole, not only because it was the residence of John Baskerville, but because it also housed ‘a mill for the making of paper’. This appears to refer to Baskerville’s initial business of Japanning, a trade he continued after moving to Easy Hill. Baskerville died in 1775.
After Baskerville’s death the house passed to his daughter, who held it until 1788, when it passed into the hands of John Ryland. Most of the information on the structure of Easy Hill house dates from the occupancy of John Ryland, who lived there for the very brief period of 1788-1791.