Determinate cukes are widely popular in our places (Earstern Europe). They are looking very promising for growing outside, early, compact, relatively more cold tolerant and you have no such a lavigne harvest like from most prolific indeterminate hybrid cukes when you even have no idea how to use and eat so many cucumbers.
There 3 types of determinate cucumber habit (with naming our popular local varieties):
1. Bushy type (wines are 40-80cm long)- e.g. Kustovoy (you know it as Bushy in USA and Canada from SSE YEarbook) has been very popular in USSR from 1980.
Thera are also Korotyshka, Mikrosha, Kustovoy Dar, Hector F1 (Dutch CV), Buyan F1, Kuznechik F1,
Malysh (wines are only 40cm long).
2. Compact long wines (something like semi-determinate tomatoes) Masha F1 (famous Seminis hybrid from Holland),
also Micron, Mizer, Vyazovets, Nadezhda, Kudesnik, Debut F1, Krepysh F1.
3. Single stemmed varieties (without side shoots) - e.g. Arshin, Artel, Malyshok F1.
We like to grow determinate cukes in old casks like that.