The Vulgata is full with proper nouns having double -ee, specially as endings (e.g. Bersabee, Phacee, Osee). I imagine you are not particularly interested in these. Below are all the other words I could find:
- deest, deerunt, deessent, deerit, deerant, etc. E.g.
Nm 21:5 locutusque contra Deum et Moysen, ait : Cur eduxisti nos de Ægypto, ut moreremur in solitudine ? deest panis, non sunt aquæ : anima nostra jam nauseat super cibo isto levissimo.
Dt 15:11 Non deerunt pauperes in terra habitationis tuæ : idcirco ego præcipio tibi, ut aperias manum fratri tuo egeno et pauperi, qui tecum versatur in terra.
- eleemosynæ and related. E.g.
Tob 2:22 Ad hæc uxor ejus irata respondit : Manifeste vana facta est spes tua, et eleemosynæ tuæ modo apparuerunt. (also in several other verses)
Is 28:10 Quia manda, remanda ; manda, remanda ; exspecta, reexspecta ; exspecta, reexspecta ; modicum ibi, modicum ibi.
Tob 6:21 Tertia autem nocte, benedictionem consequeris, ut filii ex vobis procreentur incolumes.
Is 28:13 Et erit eis verbum Domini : Manda, remanda ; manda, remanda ; exspecta, reexspecta ; exspecta, reexspecta ; modicum ibi, modicum ibi ; ut vadant, et cadant retrorsum, et conterantur, et illaqueentur, et capiantur.
Os 14:5 Sanabo contritiones eorum ; diligam eos spontanee : quia aversus est furor meus ab eis.
Some of the above have other declensions that are not in the Vulgata, but also have double ee. For instance, subjunctive passive declensions of procreo.
Regarding the period, some seem to be Classical (e.g. procreo), with others being Late Latin (e.g. eleemosynæ).