That will work fine. Rectifier tubes usually work or they don’t. If you were using a NOS 5Y3, you will probably notice a slightly tighter bottom end with the SS rectifier and a little more volume. You lose the greasy sag of the tube. The transformer in the Two Stroke is plenty beefy enough to run the increase plate voltage without issue. I have used SS rectifiers in several Two Stroke builds with no problems.
If you don’t want to spring for the third party “rectifier plug”, you could build it right on the back of the rectifier socket you already have in your amp. The existing rectifier tube uses only 4 of the 8 lugs on the octal socket, leaving you four unused lugs for the diodes, so for about 50 cents (4-1N4007 diodes), you’d be good to go. I did that in my “building a Two Stroke head” post in the TAN Topics, there is a photo showing the diodes on the back of the rectifier socket.