Is there an alternative for the word "between" that implies "inclusive" without ambiguity?
American English has the inclusive "through", which is related to throughout and thorough(ly). British English does not have this and an adjective and adverb must be used - usually inclusive(ly))
OED: through
9.b. Chiefly North American. Up to (a number, date, or other item in an ordered sequence) inclusively; up to the end of; up to and including. Cf. inclusive adv.
1798 T. Holcroft Diary 4 Aug. in Memoirs (1816) III. 31 Continued the opera through scene 9, Act 3.
1971 Physics Bull. Dec. 738/1 In the review copy pages 1469 through 1472 are already loose which does not say too much for the quality of the binding.
2010 August (Georgia) Chron. (Nexis) 2 May 1 The beauty shop is open for styling Thursday through Saturday.