Well.... do you have a squad that suits a gegenpressing approach at the Prem level? The game is pretty proactive now in telling you what you need. And moving up a level, you likely lack that quality now. You pretty much said that yourself. Gegenpressing IS quite prone to counter attacks. Look at Liverpool under Klopp's whole reign - the defense was typically a problem because they were left exposed and any mistakes were fatal. It took investing in the most expensive defender in football history (and some other changes) to solidify.
The most reasonable way to overachieve is exactly how clubs tend to do it in reality - defensively solidity and counterattacking with pace. You can go with other approaches - like possession, or tiki-taka - but with player quality below that of the best teams in the league, its going to create some problems at times.
Also.... punctuation.