Re-establishing varnashrama in modern world? Re-establishing where? In CEE? In Western Europe? Who told varnashrama ever existed in those parts? Your ISKCON co-believers? Varnashrama is part of hindu-dharma and "re-establishing varnashrama" is a brandname as a part of one business plan. Its promotion has nothing to do with Chaitanya religion.
Pushing into solitary bhajan path? That may (or may not) be another illusion and can potentially lead to a personal disaster. Think about this. If the failure in ISKCON varnashrama project was followed by the sense of upset, this means the classical chain: seeing sense objects, getting attached etc. At the end you have krodha, whose milder form is sense of upset. Then comes illusion, under which you turned to secluded lifestyle. Now you think that your path is a solitary bhajan. In case you had an error in the beggining of your calculation, how can your result be correct?
Instead, why don't you become a secret yogi? Get yourself a job, live like other people do, but be devoted to God all the time. You will thus verify if your desire to do solitary bhajan path is real. As a side effect, you will make some money to go where you want to go. But eventually you may find peace inside yourself and find out that you do not need to go anywhere.
You cannot be pushed to do avadhuta path. If you were adhakaravan for avadhuta path, you would flush your passport down the toilet, take a rucksack with few belongings and walk through the borders without asking any suggestions anywhere on the Internet. You don't need any babaji vesh initiation to become a sadhu.