Tikka rifles are made here in Finland at the Sako factory with the same tooling as the Sako rifles. As stated above, Sako is owned by Beretta and Beretta imports Sakos and Tikkas to the US. For some reason, Beretta doesn't import all the different variations of the T3 that are available. That might be the reason why you can't find one with iron sights, but you can contact Beretta USA and ask them if they have those models available.
Haven't shot a T3 Lite, so I can't comment on their recoil in any caliber. I have a T3 Super Varmint in .308Win and I think the recoil is fairly mild. My rifle came with a picatinny rail for scope. The gun will shoot one ragged hole at 100yds with my handloads and good quality off-the-shelf ammo. Tikka actually guarantees 1MOA accuracy for their rifles.
Here's my T3