If you can afford to have both, then why not keep them both? If not, the 375HH is far and away the better choice over the Lott for everything short of the largest of DG animals. I would only choose the Lott if I was thinking Ele hunt. For buffalo, the 375HH is statistically the better one shot stopper. This is not my opinion. It is from African PH data posted here on the AH site covering over 60 Cape Buffalo bulls killed with medium caliber like the 9.3mm and 375HH, vs large caliber like the 404 Jeff, 416 Rig, vs very heavy caliber such as 450, 470NE, 500NE, 458wm, 458 Lott, 460 Wby, etc. The 375 resulted in one shot kills 80% of the time where the others were closer to 60 and 50% respectively IIRC. Why? Enough velocity for effective expansion of heavy for caliber bullets. Light enough recoil that statistically more shooters shot it well. Light enough recoil that optical sights will work without cutting your eye or nose so not limited to iron or red dot sights as many of the big heavies are. And most important, when engaging DG at extended ranges the flatter shooting 375 is more likely to be on tgt where often the rainbow trajectory of the big boys results in high or low hits. It is not that the big guns do not shoot well, it is that they require a higher degree of skill and self control to shoot well, IMO. If you limit shots to inside 50y, this is not an issue. Too many times the less experienced hunter who brought his 470NE dbl rifle for DG is faced with a good shot at 80-90y on the buff of a lifetime after hunting hard for 4-5 days and is tempted to take that shot when he should have gotten closer first. Where the a scoped 375 is well able to make that shot. The pic below is a 2-shot group with my 375 from 400y with Barnes factory ammo using the 300g TSX shot from a bench (not sticks). I only shot two shots because the light copper color pock marks were not visible in my 6x scope. I knew it hit the plate but could not see the hits so I stopped. The group measured about 1.5" (0.375moa). A 3rd shot most certainly would have opened up some.
While I have shot my 375HH with exceptional precision out to 400y with only a 6x scope, I would limit it to 300y from sticks. And about 80-100y on DG (Cape Buff)
Plus it has the range to reach out further for deer or PG animals. Both are over kill for deer, elk, etc. I killed an 8pt buck white tail last year with my 375 just for grins but honestly at 308/30-06/300wm/270w are all better for deer. I am not a fan of the #1. If you want a 375 why not pay a good gunsmith to re-barrel your CZ?
If you want to have both, I have two 375HH rifles. The 2nd one is a Belgian made FN Browning Hi-Power Safari Grade. It is a veteran of Africa and a very good shooter with 300g Barnes TSX ammo. Not really looking to sell it but might consider such if it is a good fit. This rifle was an Alaskan big game veteran used for big bears, Moose, Carribou and other such. The bore is near perfect as is the bluing. The stock is good with no salt wood. It was made in 1969 but looks new. It is the one on the left.