Or save even more money by finding a companion stateside that will go hourbuilding with you, you go under the hood, he gets safety pilot credit with the FAA regulation (and since you have the control of the aircraft, he only the eyes, you can split the cost 50-50.
The flight time you refer to is not loggable under EASA regulations.
You are referring to a rule for FAR 91.119 which is for FAA licesning.
Don't confuse the two.
Logging of Flight Hours gained in the USA
Some flight hour recording practices allowable in the USA do not comply with
European and UK requirements. In particular:
• 2 pilots flying together in a single pilot aircraft both claiming P1 hours;
• One pilot accompanying another on newsgathering or traffic control flights and
claiming P1/PIC when they have not acted as Captain or signed for the aircraft.
Flying hours of this nature cannot be credited towards the requirements for Part-FCL or UK Licences.
I know pilots who have had applications rejected trying to claim such hours.