This book is key.
Brandt, J. Rasmus, Anne-Marie Leander Touati, Jan Zahle, and Italy Soprintendenza archeologica per il Lazio. 2000. Nemi-Status Quo : Recent Research at Nemi and the Sanctuary of Diana. Roma: “L’Erma” di Bretschneider.
I’ve ordered it and paid for expedited shipping. After it’s arrival this post will be updated.
The below examples show consistent engagement with the shrine from the highest Roman magistrates (consuls, praetors) and recognition of the site in the mid 1st century by Greek communities of Asia minor. The orthography is varied and the dating approximate but the broad historical sweep of engagement makes it clear that the aes grave finds are paralleled by other dedication of the same date.
CIL 14, 04184a
c.330-251 BCE

Cn(aeus), Q(uintus?) Et(—) med Diana 〈:dant?〉.
In Zurich
Cf. CIL 14, 04271: 〈:in fundo vasi〉Are(—) Diana.
AE 2008, 0285
c.300-271 BCE

In the Villa Guilia
Diana mereto
noutrix Paperia
ILLRP 0083
c. 300-200 BCE

Now in Villa Guilia
CIL 14, 04182a
c. 270-200 BCE


CIL 14, 04270
c. 270-200 BCE

Now in BNF
Poublilia Turpilia Cn(aei) uxor
hoce seignum pro Cn(aeo) filiod
Dianai donum dedit.
CIL 14, 04269
c.250-230 BCE

C(aius) Manlio(s) Aci(dinus),
cosol, pro
poplo (populo)
Arimenesi (Ariminensi).
All known Manlius’ who served as consul in the 3rd and 2nd Centuries

CIL 14, 04186
c. 250-170 BCE

In Nottingham
CIL 14, 04122
c. 250-200 BCE
Now in Villa Guilia

Ov(ios) Scarbenio(s) C(ai) l(ibertus)
AE 1945, 0027
c. 250-200 BCE
On bronze:
Dianai aram <;datod?>
Ị[ov(is)?] casto.
Possibly from Norma? Possibly from Nemi?
Roma, Museo della Civiltà Romana (già Antiquario Capitolino, scatola bronzi A3). Inv. 14.009, IAC3798
CIL 14, 04268
200 BCE
C(aius) Aurilius C(ai) f(ilius)
praitor
iterum didit,
eisdim consl
probavit.


My past thoughts on the verb probare.
AE 2014, 0290
c. 200-180 BCE
Diaṇ[ai]
C(aius) Atinị[us C(ai) (?) f(ilius)]
pr(aetor) [don(um) dat].


AE 2007, 0307
c. 130-100 BCE


CIL 1 (2nd), 1437
c.100-70 BCE
[C(aius) Lutatius (?)] L(uci) f(ilius) Pintia
[Dian]ae d(onum) d(edit) l(ibens) m(erito).
CIL 14, 02222
c.100-50 BCE

CIL 14, 04189
c. 100-1 BCE

In Nottingham
CIL 14, 02218
c. 73 BCE





CF.

CIL 14, 04196
c.50-1 BCE

M(arcus) Iulius M(arci) f(ilius), M(arcus) Accoleius M(arci) f(ilius), aed(iles) d(e) s(enatus) s(ententia).
Nottingham
CIL 14, 04192
c.50-1 BCE


Fortasse P. Autronius L.f. Paetus (frgg. a + b), consul designatus a. 66 a.Chr., probabiliter pater L. Autronii P.f. L.n. Paeti (PIR 2ed., A, 1680), consulis a. 33 a.Chr.; cfr. anche (4), che inquadra cronologicamente il frg. a nella seconda metà del I sec. a.C.; diversamente (3), che include dubitativamente P. Autronius [—] tra i consoli del I sec. d.C.
Roma, ex X Ripartizione AA.BB.AA. del Comune, magazzini (probabilmente portata a Roma, nella residenza sul teatro di Marcello, dagli Orsini). Inv. 4032
CIL 14, 04275a
c. 50-1 BCE

Roma, ex X Ripartizione AA.BB.AA. del Comune, magazzini. Inv. 3908
CIL 14, 04182
c.50 BCE-50 CE

Aerentịa
L(uci) f(ilia)
Dianae sacr(um)
d(onum) d(edit) l(ibens) m(erito).
In Nottingham