Since no one else has responded, I'll throw in my two cents worth.
I can only speak for the 123gr Hornady.
From my experience with it in the 7.62x39 in an SKS, I doubt that you'll be pleased with it from the .303.
I shot a ~100lb doe at approx. 55yds, with a charge of 27.5gr of AA-1680 that chrono'd 2,390fps. (adjusted powder charge to match advertised velocities so sight settings would match). The bullet struck a small branch (3/4" dia) before striking the deer. I got two entry wounds. One was from a piece of jacket material, the other from the main body of the bullet. It penetrated the shoulder after striking the shoulder blade, and was lodged against the shoulder blade on the other side. The jacket was shed, and core broke into several pieces. The piece of jacket only penetrated about 1". I had a very scant blood trail, and had the deer not collapsed within sight, could have possibly been lost. The deer reared up on its hind legs at the shot, and dashed about 35yds before collapsing.
A larger deer (200lbs+) would with a similar shot placement would probably been lost.
I would recommend the 150-154gr bullets for the .303.
The aforementioned Hornady is NOT an interlock bullet and the performance reflected it.
I have shot a lot of deer with the .308 150gr Interlok (from .30/06) and it performs quite well at m.v.'s of 2,700-3,000fps. My brother had a .303 and it shot and performed well with the .311 150gr Interlok. We didn't have a chrono then, but guesstimated the velocity to be about 2,650fps. Entirely adequate for any 150gr bullet use in 30-31 caliber.
The Nosler 125gr Bal. Tips shot very well from my SKS and would probably perform well but would expand violently. I also got good performance from the Sierra 125gr Soft Pt. from the .310" bore. From the info in the Sierra manual, it would likely be the best performing of the three at your velocities.
I have no info on any of the Speers, except the Speer 130gr HP. It definitely wouldn't do! They blew up on feral dogs from a Rem. 788 over ~37.0gr of IMR-4320 (I was 17 and was using a Lee dipper and Lee hand loader in early '70's). One ~50lb dog was nearly blown in half with a mid-torso spine shot! He had a Half-moon section blown away from behind shoulders to in front of pelvis, with shoulder blade and pelvis bones showing.
Shot was from slightly above and behind the dog as he was eating a deer carcass. Range was approx 75yds.
If your deer are small, and hunting area open, the lighter bullets will perform OK, but avoid hitting anywhere near anything you plan to eat. Lung shots should be devastating, but don't count on a lot of penetration.
I would recommend either the 150gr or 180gr Remington Cor-lokts. They initially expand well, and also hold together well for decent penetration. Accuracy will be good to excellent. I don't personnally recommend the Winchester PowerPoints as I've seen too many of them shed jackets and fragment the cores. Ok if you're shooting prararie dogs, not too great for trophy deer.