The Twins normally carry about 30 players at Elizabethton and up to 35 in the GCL. That is 65. I show 49 players remaining in EST from this group (not including players there rehabbing). In the last eight years, they have signed a low of 20 players (2004) and a high of 33 (last year). The norm appears to be around 26, however, has been higher the last two years, 31 and 33. They appear to always seriously attempt to sign their top ten to fifteen rounds, which would be 13-18 players. After that they sign most of the college seniors, a few of the juniors and J2 kids and usually surprise by signing one or two high school players from the later rounds.
With 49 in camp (the ones I see that you missed which I believe are still around are Marcus Solberg and Junior Subero, unless I missed their releases). You also don't have any of the group coming up this year from the DSL, which should be led by Felix Jorge. The size of this group varies, however, is normally at least a half dozen and has been as high as mid-teens. So if we have 49 in camp, say at least five coming up from the DSL and the average number signed, 26, that is a total of 80 players. They will likely put 65 on the two teams, leaving 15. A few of these and a few of the draft picks will move up (good example is Vargas when his suspension is over), say leaving ten. One can further assume a few will be injured and go on the DL, but they will likely be making another cut of somewhere between five and ten players.