I get the same message as Beverley when trying Pauline's URL, but I can do textual lookups from the Search tab.
Bromley Local Studies has an index on microfiche and the full registers on film. I found the following on the fiche and subsequently also the christenings and marriages (but not the burials) on FamilySearch:-
Christenings:
p32 23-Mar-1701 Thomas son of William Deane
p33 16-Jun-1703 William son of William Dean
--- 3-Apr-1705 Richard son of William Dean (FS only)
p34 3-Nov-1706 Ann daughter of William Dean (FS says Anne and 20-Nov-1706)
p35 5-Apr-1708 Edmund son of Wm Dean
Marriages:
p55 17-Jun-1610 Richarde Juckes & Ales Deane
p57 4-Oct-1632 John Kipps & Bridget Deane
p58 15-Apr-1671 Will: Dean & Ann Simmons (FS has Sinnons)
p60 5-Feb-1705 John Mannyng & Ann Dean
Burials:
p89 9-Oct-1706 Margaret Dean
p89 27-Nov-1706 Thomas Dean
p89 14-Jan-1708 Mary wife of Will: Dean
p89 16-Feb-1708 Mrs Ann Dean widow
p94 12-Jul-1724 Mr William Dean
p95 17-Dec-1726 Thomas Dean
p96 1-Jan-1727 Eliz: Dean a child from Sundrich
I did not have time to see if there is any further detail on the full register scans, but will do so next week. Meanwhile, Beverley may be able to eliminate some of the above, or a fuller examination of the search results on FS might give some more leads.
Leland Duncan's MI survey in 1921 has just one Dean grave:
57. A broken headstone, now flat under East window. Mr William Deane of Deptford, distiller, son of Mr William Deane (of .... the .... S....... officer) .....January 1767, aged ..... years.
I don't remember coming across this, but considering the description and the present state of most of the gravestones at St Mary's, I don't hold out much hope of finding it. There is no January 1767 burial in the microfiche index.
[Aside: Page 95 on the fiche transcribes that whilst conducting a midnight burial (not a Dean), the vicar fell into the grave, injured his leg, and was in bed for 6 weeks! During this period another midnight burial was conducted by a deputy, without incident.]