Across:
1 Car (Model T-) for travelling (= anagram indicator) Haiti (Haiti = -AHITI) (TAHITI) – an old French colony (TAHITI is an old French colony),
4 Creative (ARTISTIC) crafty (= anagram indicator) racist (racist = ARTIS-C) admits twisting (= reversal indicator) it (it = -TI-) (ARTISTIC),
9 High-flying (KITING) member of the palace (king = K-ING) admits losing the head (n) with fool (‘nit’ without ‘n’ = -IT-) (KITING),
10 Breaks (= anagram indicator) hands, etc., (hands etc = SNATCHED) in Kidnapped (SNATCHED),
12 Show up (COME) drug-free (CLEAN) (COME CLEAN) – it’s what one might do in confession (COME CLEAN),
13 Characters in Subaru rallying (characters in ‘subaRU RALlying’ = RURAL) out in the sticks (RURAL),
14 Sounds like swell of anger between individuals (RAISED VOICES) in States (states/says = VOICES) after (= position indicator) 27 across (‘raised’ = RAISED) (RAISED VOICES),
18 Surrender (RAISE THE FLAG) to most of those in 27 across (most of ‘raised’ = RAISE) and then (then) briefly (n) (‘then’ without ‘n’ = THE) get Peter out (peter out/become exhausted = FLAG) (RAISE THE FLAG),
21 Socialite dismisses sect (‘socialite’ dismisses ‘sect’ = oiali = AIOLI) as a saucy type (AIOLI),
22 Oriental (east = E-) gangster’s lover (-MOLL-) is the first (‘Is’ the first = -I-) to let off steam (vent) – scratching head (v) (‘vent’ without ‘v’ = -ENT) (EMOLLIENT) it saves face, for example
(EMOLLIENT),
24 They shed light on the murkier aspects (FOG LAMPS) of Pam’s golf (Pam’s golf = FOG LAMPS) shot (= anagram indicator),
25 The foreign (the = LA-) investigation (-TEST) (LATEST) is in Vogue (LATEST),
26 Eats a rum (eats a rum = AMATEURS) fudge (= anagram indicator) produced by novices (AMATEURS),
27 Model left demoralised (‘model’ left ‘demoralised’ = raised = RAISED) by what’s brought up (RAISED).
Down:
1 Steal (TAKE) set of wheels (CAR-) with key (music key -E) (TAKE CARE) and look after yourself (TAKE CARE),
2 Bowler (HAT-) gets message (-E MAIL) (HATE MAIL) – this type of delivery should be intimidatory (HATE MAIL),
3 Economist drops some (‘economist’ drops ‘some’ = conit = TONIC) stimulant (TONIC),
5 Refuting the idea (RENUNCIATION) and point (east = -E-) by mother (-NUN-) from Channel Islands (-CI-) consumed by allowance (allowance / ration = R-ATION) (RENUNCIATION),
6 Step on someone’s toes (INTERFERE) reading (from the 3Rs = -R-) Tenerife (Tenerife = INTE-FERE) novel (= anagram indicator) outside (INTERFERE),
7 Top (T-SHIRT) car? (model T-) Could be a Polo! (polo -SHIRT) (T-SHIRT),
8 Provides a reminder (CU-E) about Dublin (-D-) meeting Donegal (-DL-) (CUDDLE) in tight encounter that’s supposed to be friendly (CUDDLE),
11 Can’t be easily picked up from the tracks (HEAVY SLEEPER) produced by Falstaffian figure in the Land of Nod presumably (HEAVY SLEEPER),
15 Finish off (ERADICATE) a cider (a cider = ERADIC-) cocktail (= anagram indicator) and put away (-ATE) (ERADICATE),
16 Poser (CLUE-) from takeaway (take away = -LESS) (CLUELESS) has no idea (CLUELESS),
17 Lawyer (attorney general = AG-) gets papers (ID papers = -I-D) framing foreign museum (-TATE- museum) (AGITATED) in a state (AGITATED),
19 High-flyers overseas (Royal Air Force = RAF-) find international racing drivers (Fédération Internationale de l’Automobile = FIA = -FIA) (RAFFIA) can be useful for a bit of weaving (RAFFIA),
20 Soldier (-GI-) in gaol (gaol = LOG-A) break (= anagram indicator) (LOGGIA) found lying at the side of the house (LOGGIA),
23 Wool producer (LLAMA) is setting up (= reversal indicator) first Aran (first ‘Aran’ = -A) collection of outlets in America (mall = -LLAM) (LLAMA).