It may be difficult to find the 3-4' height limit for a conical or upright shape, but you can find plenty in the 5-6' range. It takes several years for them to reach that height, and you can prune to keep them in bounds.

If you're interested in conifers "mostly shaded" is probably going to come down to a choice between Tsuga (hemlocks) and Taxus (yews).
Among broadleaf evergreens some of the smaller rhododendrons (e.g. yakushimanum cultivars or myrtifolium)Buxus, compact Ilex glabra selections and compact Kalmia latifolia selections might be possibilities. Without more info (exact location? deer? drainage? wind exposure? soil pH? snow loading? winter sun? etc.) it is impossible to know what might be appropriate. A good nursery such as Anderson Farms, O'Donal's, or Estabrooks should be able to guide you.