some suggestions for an econo build.. use factory barrel and cut enough off chamber end to have it re-cut with a match chamber... reduce head space of bolt, and limit vertical travel of the firing pin... buy a good metal trigger...use a factory sporter stock which does not have a barrel band, and cut it to fit her length of pull...
Lyman 17A style globe sight on front (if allowed) to provide a shaded front sight
if a barrel tuner is allowed... build one with 1/2-28 threads and find the best grouping commonly available ammunition...I'd try CCI Mini Mag first and Green Tag if available
if allowed bed the barrel and not just the receiver
my STC 10/22 with a .930 Clark fluted barrel would shoot 10 shots under 1" at 100y on a calm day.... bench rested with 6-24x44 Tasco World Class AO with 1/8min dot and clicks with Win Super X high velocity