Mac, you seem to have much of it already in hand. So, when you say you want to rise 0.5" between turntouts, and that your space is quite confined, I would suggest, as others have, that you would be better off rising more, and limiting the number of switchbacks…they take up tons of room, as you must realize.
I don’t have a firm grasp of your overall plan, so a diagramme would really help. But, for figuring purposes, with tails on each end of a switchback of 29", you now need a total of 58" to effect your elevation change between turnouts of an as yet unspecified distance apart from each other…right? You could get anywhere from your desired 1/2" elevation between the turnouts and a more realistic 1" in your overall space with grades of between 2% and 5% over either 24 or 30"…your choice. I am limiting you, but you should probably be figuring on a distance between turnouts, for your space concerns, of between 24 and 30". So, for example, with only a 1/2" rise over 24" between turnouts, you get a 2% grade…close enough. If you elect, instead, to go for a full inch over that same distance, now you have a more realistic 4%. Three quarters of an inch would only be 3%, somewhat easier, but still three times the height advantage in one switchback.
Or, over 30", if you have the space between tails, 1/2" comes to a paltry 1%…hardly worth all that track. Make it a 1" rise over that same 30", and now you are very close to a full 3% grade…very doable.
Over the same 30", rising 1.5", you get a challenging, but still very realistic, 5% grade.
Returning to the total of 58" in tails, with only 24" between the turnouts, assuming the lengths of the turnouts is included in the tails measurements you have suggested to me, you now total 58" + 24" = 82" in length for one switchback. Can you fit it in? Would you have the room for 26", or even the 30"?