I have 215-60-13" tires on Cosmic wheels on my Sunbeam Tiger. The tires are from the 80's (car is on J-stands15 years now). I just went to measure and realized the car is buried with the wood for my daughters Tiny House (sorry). I have a pair of the Pinto Rallye wheels and they measure 5" wide. And I have a 205-60-13" Sumitumo HTR 200 tire that free standing measures roughly 5" wide unseated. So, if you are going to 8" wheels, yea, they might have that Ricer look.
As far as the 13" tires go..., I drive my (three) hobby cars roughly 250 miles a year each. New tires would be a waste. While I may enjoy getting to the speed limit quickly, I'm not the type to exceed it. So, "decent" tires are good enough. In the past year this is what I have gotten:
3 Sumitumo 175-70-13" HTR 200's, new, never used. $35 for the three from Craigslist.
2 Sumitumo 205-60-13" HTR 200's, used one about 70% good the other 50% good. $11 each from Pick A Part.
3 Federal Formoza 205-60-13", used, roughly 50% good. $30 for the three at a Mopar car show.
I'll mix and match (in pairs) if needed (Oh why oh why do I always find three tires???). I've seen a number of places that sell new 205-60-13" on the internet, but I'm not sure they actually have/can get them. My recollection was in the $40 high to low $60 range, and no shipping cost was stated (but typically is about $10- $12 a tire at that size). For sure 13" tires are getting harder to find.
I also have two (looking for two more) 14" SPP look alike wheels. The SPP's are very expensive, but I found two look a likes on a 88 T-Bird. Even the 14" tires are getting rare, but at this point more available than the 13". When I'm paying the prices I do, and can swap/share with the Tiger, having 3-4 complete sets is a cost effective luxury. BTW, I have a HF tire installer and a bubble balancer. At today's prices I figure I'm saving $80-$100 with every complete set I install. At $35 the tool paid for itself the second tire I mounted up.