How can I make the model always touch the baseplate? [SOLVED]

I have created a placement system, but the thing that I can't seem to fix about it is that it goes ontop of other models, and doesn't, like stay touching the baseplate. Here is an image of it happening.

Here is something I tried, but it only goes down by 0.5 of a stud when you move your mouse, and that's not what I wanted.

local mouse = game.Players.LocalPlayer:GetMouse()
local tool = script.Parent
local lhit = nil
local ltarg = nil
tool.Equipped:connect(function(emouse)
    local modelc = game.Lighting.Items:FindFirstChild("Mine", true)
	model = modecl:Clone()
	model.Parent = workspace
	emouse.TargetFilter = model, game.Players.LocalPlayer.Character
    emouse.Move:connect(function()
        if (mouse.Hit ~= lhit) then
            lhit = mouse.Hit
            ltarg = mouse.Target
            model:MoveTo(Vector3.new(math.ceil(emouse.Hit.X), 0.5, math.ceil(emouse.Hit.Z)))
			for _,v in pairs(model:GetChildren()) do
				if v.ClassName == "Part" then
					v.CFrame = CFrame.new(v.Position.X, v.Position.Y, v.Position.Z) - Vector3.new(0, 0.5, 0)
				end
			end
        end
    end)
	emouse.Button1Down:connect(function()
		local placed = model:Clone()
		placed.Hitbox:Destroy()
		placed.Parent = workspace
		placed.Name = "PlacedMine"
	end)
end)
tool.Unequipped:connect(function()
	model:Destroy()
end)