The Lee press...is junk...so I can't recommend you go down that path.
I have some experience loading "00" buck ...and none of the MEC presses will meter it very well / so you will end up figuring out how many "00" pellets make up 1 oz - if you're loading 1 oz shells...and then drop them into the shell after you seat the wad..../ I've reloaded shotshells for 40+ yrs / but primarily load for clay targets ( about 25,000 shells a yr in 12ga, 20ga, 28ga and .410 ) ...but I only load about 300 or so "00" shells a year for some tactical practice.../ and I don't mess with loading any slugs.
Any of the MEC presses are good machines.../ you won't get much advantage from a progressive press loading "00" buck so a single stage or maybe a Grabber model is all you'll need.
But unless you're shooting a lot of "00" or slugs...reloading isn't going to make much economic sense / that's why all the shotshell presses are setup to reload bird shot...