a little hard to tell without knowing a bit more information, like which points are merged to which. but i have a few suggestions. i guess the first is make sure that your elevations ties are merged to other points in the network, but likely this is already the case. also make sure that you have the settings on to perform vertical adjustment, i think it is in the network adj settings, you likely already have this as well.
i think tbc is having trouble because it has no starting point for the elevations. so for your control that you are holding only the H, try making the V "control quality" as well, for one or likely all three. this will give tbc a starting elevation. then in the network adj, the E column should then be available, but do not check it unless you want to fix it at that elevation. see if it will run the V adjustment. if it does, then it will likely throw a flag, but now you have a new computed elevation and so you can change it to what it should be and start again if you want to clear the flag, but still keep the V unchecked for those H ones.
another thing, if that does not work, you could try fixing the E on those horizontal control and then use the dropdown for each of them to assign an amount of 'float' that tbc will allow them to move. if there is some validity to the V on those coordinates then this might be valuable to do, especially if you know the quality of the initial elevations.
hope this helps.