Happy Monday, all. Looking for suggestions on new, not vintage, please. This is to be a gift for someone who is absolutely convinced a DE is going to shred his face.
I think an EJ 89 would fit the bill nicely. It is readily available far under your budget price. Pair it up with some Derby blades and your friend should be good to go.
Keep in mind that in the hands of a novice, even the mildest razor can do some damage. Let him know that there is a learning curve involved, and its not unusual to experience some nicks the first few days. Let him practice without a blade for a few times while he learns about technique.
I have a Merkur 1904 I'll sell you for $99.99!
Seriously, there are LOTS of choices under $40. For $100 you can net a darn great starter kit. My recommendation would be the Merkur 33c or 1904.
A feather Popular is pretty mild and around $20
My first DE was a Edwin Jagger DE 89 and it's fantastic. I like Astra SP blades in mine, since they seem to be a pretty forgiving blade.