I'm running 155/80R13 on the Tunebug (That's what was on there when I bought it).
The original is 5.20 x 13S Bias Ply. I seem to remember that a 145SR x 13 would be the right original size in a radial. When I bought my TR4, there was a paper taken from somewhere that listed modern tires and their old LBC equivalents.
From this sheet:
5.20x13 = 5.2" wide, 22.36" diameter
145/80R13 = 5.71" wide, 22.13" diameter, wheel 4" - 5.5" wide
155/80R13 = 6.10" wide, 22.76" diameter, wheel 4" - 5.5" wide
165/80R13 = 6.5" wide, 23.39" diameter, wheel 4.5" - 5.5" wide
175/70R13 = 6.89" wide, 22.65" diameter, wheel 5" - 6" wide